BOOKS
A. Iomin, V. Méndez and W. Horsthemke, Fractional Dynamics in Comb-like Structures (World Scientific, 2018)
V. Méndez, D. Campos and F. Bartumeus, Stochastic Foundations in Movement Ecology: Anomalous diffusion, invasion fronts and random searches (Springer-Verlag, Berlin, 2014)
V. Méndez, S. Fedotov and W. Horsthemke, Reaction-Transport Systems: Mesoscopic Foundations, Fronts, and Spatial Instabilities (Springer-Verlag, Berlin, 2010)
BOOK CHAPTERS
A. Masó-PdL, D. Campos and V. Méndez, Anomalous Diffusion in Random-Walks With Memory-Induced Relocations in Anomalous Transport: Applications, Mathematical Perspectives, and Big Data (Ed. R. Metzler, Frontiers in Physics, 2019)
V. Méndez and A. Iomin, Comb model for transport along spiny dendrites, in Handbook and Applications of Chaos Theory (Editor Skiadas&Skiadas, Taylor&Francis, 2015)
D. Campos and V. Méndez. The role of detection mechanisms on spatial foraging, in First Passage Phenomena and Their Applications (World Scientific, 2013).
D. Campos and V. Méndez, Propagation Processes through Fractal Media with Applications to Biology, In Classification and Application of Fractals: New Research. Eric W. Mitchell and Scott R. Murray (Editors). Nova Science Publishers Inc. NY, USA (2011)
Publications in referred journals
130. J. Cristín, P. Fernández, R. Lloret-Cabot, M. Genovart, V. Méndez, F. Bartumeus and D. Campos, Spatiotemporal organization of ant foraging from a complex systems
perspective, Sci. Rep. 14, 12801 (2024)
129. D. Campos and V. Méndez, Dynamic redundancy as a mechanism to optimize collective random searches, Phys. Rev. E 109, 064109 (2024)
128. V. Méndez, R. Flaquer-Galmés, D. Campos, First-passage time of a Brownian searcher with stochastic resetting to random positions, Phys. Rev. E 109, 044134 (2024)
127. R. Flaquer-Galmés, D. Campos and V. Méndez, Intermittent random walks under stochastic resetting, Phys. Rev. E 109, 034103 (2024)
126. A. Masó, T. Sandev and V. Méndez. Random Walks on Comb-like Structures under Stochastic Resetting. Entropy 25 (11), 1529 (2023)
125. E. Barkai, R. Flaquer-Galmés and V. Méndez, Ergodic properties of Brownian motion under stochastic resetting, Phys. Rev. E 108, 064102 (2023) Editor’s Suggestion
124. J. Cristín, V. Méndez and D. Campos, Informational Entropy Threshold as a Physical Mechanism for Explaining Tree-like Decision Making in Humans. Entropy 2022, 24, 1819.
123. A. Masó, D. Campos and V. Méndez, Conditioned backward and forward times of diffusion with stochastic resetting: A renewal theory approach. Phys. Rev. E 106, 034126 (2022)
122. V. Méndez, A. Masó. and D. Campos. Nonstandard diffusion under Markovian resetting in bounded domains. Phys. Rev. E. 105, 054118 (2022)
121. O. Vilk, D. Campos, V. Méndez, E. Lourie, R. Nathan and M. Assaf, Phase transition in non-Markovian animal exploration model with preferential returns. Phys. Rev. Lett. 128, 148301 (2022). Supplementary material. Featured in Physics. Nature Physics news&views
120. J. Cristín, V. Méndez and D. Campos, How information prospection facilitates spatial coverage of self-avoiding walks. J. Stat. Mech: Theor. and Exp. 103212 (2021)
119. D. Campos, J. Cristín and V. Méndez, Minimization of spatial cover times for impaired self-avoiding random walks: the mirage effect. J. Stat. Mech: Theor. and Exp. 063404 (2021)
118. D. Campos, J. Cristín and V. Méndez, Optimal escape-and-feeding dynamics of random walkers: Rethinking theconvenience of ballistic strategies. Phys. Rev. E 103, 052109 (2021)
117. V. Méndez, A. Masó-PdL, T. Sandev and D. Campos, Continuous time random walks under Markovian resetting. Phys. Rev. E. 103, 022103 (2021)
116. J. Cristín, F. Bartumeus, V. Méndez, and D. Campos, Occupancy patterns in superorganisms: a spin-glass approach to ant exploration, R. Soc. Open Sci. 7: 201250 (2020)
115. V. Domazetoski, A. Masó-Puigdellosas, T. Sandev, V. Méndez, A. Iomin, and L. Kocarev, Stochastic resetting on comblike structures. Phys. Rev. Research 2, 033027 (2020)
114. A. Iomin, V. Méndez, W. Horsthemke, Comb model: Non-Markovian vs Markovian. Fractal Fract. 3, 54 (2019)
113. J. Cristín, V. Méndez, D. Campos, General scaling in bidirectional flows of self-avoiding agents. Sci Rep 9, 18488 (2019)
112. A. Masó, D. Campos, V. Méndez, Transport properties of random walks under stochastic non-instantaneous resetting, Phys. Rev. E. 100, 042104 (2019)
111. D. Campos, V. Méndez, Recurrence time correlations in random walks with preferential relocation to visited places, Phys. Rev. E. 99, 062137 (2019)
110. R. León-Montiel, V. Méndez, M. A. Quiroz-Juárez, A. Ortega, L. Benet, A. Perez-Leija and K. Busch, Two-particle quantum correlations in stochastically-coupled networks, New. J. Phys 21 (2019) 053041
109. A. Masó, D. Campos and V. Méndez, Stochastic movement subject to a reset-and-residence mechanism: transport properties and first arrival statistics, J. Stat. Mech. (2019) 033201
108. V. Méndez, M. Assaf, A. Masó-Puigdellosas, D. Campos and W. Horsthemke, Demographic stochasticity and extinction in populations with Allee effect, Phys. Rev. E 99, 022101 (2019). Editors Suggestion
107. A. Masó, D. Campos and V. Méndez, Transport properties and first-arrival statistics of random motion with stochastic reset times, Phys. Rev. E 99, 012141 (2019)
106. D. Campos, F. Bartumeus and V. Méndez, Nonstationary dynamics of encounters: Mean valuable territory covered by a random searcher. Phys. Rev. E 96, 032111 (2017)
105. V. Méndez, M. Assaf, W. Horsthemke and D. Campos, Stochastic foundations in nonlinear density-regulation growth. Phys. Rev. E 96, 022147 (2017)
104. V. Méndez, A. Iomin, W. Horsthemke and D. Campos, Langevin dynamics for ramified structures. J. Stat. Mech: Theor and Exp. 063205 (2017)
103. D. Campos, F. Bartumeus, , J.J. Andrade, X. Espadaler, Variability in individual activity bursts improves ant foraging success. J. Royal Society Interface 13, 20160856 (2016)
102. F. Bartumeus, D. Campos, W. Ryu, R. Lloret-Cabot, , J. Catalan. Foraging success under uncertainty: search tradeoffs and optimal space use. Ecology Letters 19, 1299 (2016)
101. H. Stage, S. Fedotov and V. Méndez, Proliferating Lévy Walkers and Front Propagation, Math. Model. Nat. Phenom., 11 3 (2016) 157-178
100. T. Sandev, A. Iomin and V. Méndez, Lévy processes on a generalized fractal comb, Journal of Physics A: Mathematical and Theoretical 49 (2016) 355001
99. D. Ortega, J. J. Ibáñez, D. Campos, L. Khalidi, V. Méndez and Luís Teira, Systems of Interaction between the First Sedentary Villages in the Near East Exposed Using Agent-Based Modelling of Obsidian Exchange, Systems 4, 18 (2016)
98. V. Méndez, D. Campos, Characterization of stationary states in random walks with stochastic resetting, Phys. Rev. E. 93, 022106 (2016)
97. D. Campos and V. Méndez, Phase transitions in optimal search times: How random walkers should combine resetting and flight scales, Phys. Rev. E. 92, 062115 (2015)
96. A. Iomin and V. Méndez, Does ultra-slow diffusion survive in a three dimensional cylindrical comb? Chaos, Solitons & Fractals 82 (2016) 142–147
95. V. Méndez, A. Iomin, D. Campos and W. Horsthemke, Mesoscopic description of random walks on combs, Phys. Rev. E. 92, 062112 (2015)
94. D. Campos, F. Bartumeus, E. P. Raposo, and V. Méndez, First-passage times in multiscale random walks: The impact of movement scales on search efficiency. Phys. Rev. E 92, 052702 (2015)
93. V. Méndez, M. Assaf, D. Campos and W. Horsthemke, Stochastic dynamics and logistic population growth. Phys. Rev. E 91, 062133 (2015)
92. D. Campos, E. Abad, V. Méndez, S. B. Yuste and K. Lindenberg, Optimal search strategies of space-time coupled random walkers with finite lifetimes. Phys. Rev. E 91, 052115 (2015)
91. J. J. Ibáñez, D. Ortega, D. Campos, L. Khalidi and V. Méndez, Testing complex networks of interaction at the onset of the near eastern Neolothic using modelling of obsidian exchange. J. Royal Society Interface 12, 20150210 (2015)
90. V. Méndez, D. Campos and W. Horsthemke, Growth and dispersal with Inertia: Hyperbolic reaction-transport systems, Phys. Rev. E 90, 042114 (2014)
89. V. Méndez, S. I. Denisov, D. Campos and W. Horsthemke, Role of the interpretation of stochastic calculus in systems with cross-correlated Gaussian white noises. Phys. Rev. E . 90, 012116 (2014)
88. D. Ortega, J. J. Ibañez, L. Khalidi, V. Méndez, D. Campos and L. Teira, Towards a Multi-Agent-Based Modelling of Obsidian Exchange in the Neolithic Near East, J Archaeol. Method. and Theory 21, 461-485 (2014)
87. D. Campos, F. Bartumeus, V. Méndez and X. Espadaler, Reorientation patterns in central place foraging: internal clocks and klinokinesis, J. Roy. Soc. Interface 11, 20130859 (2013)
86. V. Méndez, D. Campos and W. Horsthemke, Efficiency of harvesting energy from colored noise by linear oscillators. Phys. Rev. E 88, 022124 (2013); Erratum: Phys. Rev. E 91, 029904(E) (2015)
85. D. Campos, F. Bartumeus, and V. Méndez, Search times with arbitrary detection constraints. Phys. Rev. E 88, 022101 (2013)
84. A. Iomin and V. Méndez, Reaction-subdiffusion front propagation in a comblike model of spiny dendrites, Phys. Rev. E 88, 012706 (2013)
83. V. Méndez, D. Campos and W. Horsthemke, Stationary energy probability density of oscillators driven by a random external force. Phys. Rev. E 87, 062132 (2013)
82. V. Méndez and A. Iomin, Comb-like models for transport along spiny dendrites, Chaos, Solitons & Fractals 53 46–51 (2013)
81. V. Méndez, D. Campos and W. Horsthemke, Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model. Phys. Rev. E 86, 011919 (2012)
80. V. Méndez, D. Campos, I. Pagonabarraga and S. Fedotov, Density-dependent dispersal and population aggregation patterns, J. Theor. Biol. 309, 113–120 (2012)
79. D. Campos and V. Méndez, Two-point approximation to the Kramers problem with coloured noise, J. Chem. Phys. 136, 074506 (2012)
78. D. Campos, V. Méndez and F. Bartumeus, Optimal intermittence in search strategies under speed-selective target detection, Phys. Rev. Lett. 108, 028102 (2012)
77. V. Méndez, W. Horsthemke, P. Mestres and D. Campos, Instabilities of the harmonic oscillator with fluctuating damping, Phys. Rev. E 84, 041137 (2011)
76. V. Méndez, C. Sans, I. Llopis, and D. Campos, Extinction conditions for isolated populations with Allee effect, Math. Biosci. 232 (2011) 78–86
75. V. Méndez, I. Llopis, D. Campos and W. Horsthemke, Effect of environmental fluctuations on invasion fronts, J. Theor. Biol. 281 (2011) 31-38
74. I. Gómez-Portillo, D Campos and V. Méndez, lntermittent random walks: transport regimes and implications on search strategies, J. Stat. Mech: Theor and Exp. P02033 (2011)
73. V. Méndez, D. Campos and I. Gómez-Portillo, Travelling fronts in systems of particles with random velocities. Phys. Rev. E. 82, 041119 (2010)
72. D. Campos, V. Méndez and I. Llopis. Persistent Random Motion: Uncovering Cell Migration Patterns. J. Theor. Biol. 267 (2010) 526–534
71. Y. Boubendir, V. Méndez and H. G. Rotstein, Dynamics of one- and two-dimensional fronts in a bistable equation with time-delayed global feedback: Propagation failure and control mechanisms. Phys. Rev. E 82, 036601 (2010)
70. V. Méndez, C. Sans, D. Campos and I. Llopis, Fourier series expansion for nonlinear Hamiltonian oscillators. Phys. Rev. E 81, 066201 (2010)
69. V. Méndez, I. Llopis, D. Campos and W. Horsthemke, Extinction conditions for isolated populations affected by environmental stochasticity. Theor. Pop. Biol. 77 (2010) 250-256
68. D. Campos , V. Méndez, J. E. Llebot and G. A. Hernandez, Analytical model for Minority Games with evolutionary learning. Physica A. 389 (2010) 2397-2407
67. V. Méndez, I. Llopis, D. Campos and W. Horsthemke, Extinction and chaotic patterns in map lattices under hostile conditions. Bull. Math. Biol. 72, 432-443 (2010)
66. D. Campos and V. Méndez,Nonuniversality and the role of tails in reaction-subdiffusion fronts, Phys. Rev. E 80, 021133 (2009)
65. V. Méndez, D. Campos and A. W. Sheppard, A model for plant invasions: the role of distributed generation times. Bull. Math. Biol. 71, 1727-1744 (2009)
selected for Faculty of 1000 Biology and evaluated by Hao Wang and Mark Lewis. Get PDF or visit https://f1000biology.com/article/id/1570962/evaluation
Featured by UAB-Divulga. Get PDF or visit this URL. Article published in Agrodigital (in Spanish).
64. D. Campos and V. Méndez, Superdiffusive-like motion of colloidal nanorods. J. Chem. Phys. 130, 134711 (2009)
63. D. Campos and V. Méndez, Different microscopic interpretations of the reaction-telegrapher equation. J. Phys. A: Math. Theor. 42, 075003 (2009)
62. S. Fedotov and V. Méndez, Non-Markovian model for transport and reactions of particles in spiny dendrites. Phys. Rev. Lett. 101, 218102 (2008)
61. D. Campos, S. Fedotov and V. Méndez, Anomalous reaction-transport processes: the dynamics beyond the Mass Action Law.Phys. Rev. E 77, 061130 (2008)
60. D. Campos, V. Méndez and S. Fedotov, The effects of distributed life cycles on the dynamics of viral infections. J. Theor. Biol. 254 (2008) 430- 438
59. D. Campos, V. Méndez and V. Ortega-Cejas, Lattice models for invasions through patchy environments. Bull. Math. Biol. 70 (2008) 1937-1956
58. D. Campos, J.E. Llebot and V. Méndez. Limited resources and evolutionary learning may help to understand mistimed reproduction in birds caused by climate change. Theoretical Population Biology 74 (2008) 16-21
57. D. Campos and V. Méndez, A lattice-model representation of continuous-time random walks, J. Phys. A: Math. Theor. 41 (2008) 085101
56. V. Méndez and D. Campos, Population extinction and survival in a hostile environment, Phys. Rev. E 77, 022901 (2008)
55. V. Méndez, W. Horsthemke, Evgeny P. Zemskov and J. Casas-Vázquez, Segregation and pursuit waves in activator-inhibitor systems, Phys. Rev. E 76, 046222 (2007)
54. A. Yadav, S. Fedotov, V. Méndez and W. Horsthemke, Propagating fronts in reaction-transport systems with memory, Phys. Lett. A 371, 374 (2007)
53. V. Méndez, W. Horsthemke, J. Casas-Vázquez and E. P. Zemskov, Variational principles and the effect of a cutoff on population pattern size, Eur. Phys. J. (Special Topics) 146, 189 (2007)
52. V. Méndez, S. Fedotov, D. Campos and W. Horsthemke, Biased random walks and propagation failure, Phys. Rev. E 75, 011118 (2007)
51. V. Méndez, S. Fedotov, and W. Horsthemke, Effect of memory kernels on the speed of reaction-diffusion fronts, Europhys. Lett. 77, 58006 (2007)
50. E. P. Zemskov and V. Méndez, Speed shift in reaction-diffusion equations with cutoff, Physica A 376, 208 (2006)
49. V. Méndez, V. Ortega-Cejas and J. Casas-Vázquez, Front propagation in reaction-dispersal with anomalous distributions, Eur. Phys. J. B 53, 503 (2007)
48. V. Méndez, V. Ortega-Cejas, E. P. Zemskov and J. Casas-Vázquez, Transition from pulled to pushed fronts in piecewise linear reaction-diffusion systems, Physica A 375, 51 (2007)
47. V. Ortega-Cejas, J. Fort and V. Méndez, Time-delayed predator-prey and competition fronts. Theory and comparison to experimental observations, Physica A 366, 299 (2006)
46. V. Méndez, V. Ortega-Cejas and D. Campos, Front propagation in population dynamics with dispersive variability and delayed growth, Physica A 367, 283 (2006)
45. V. Méndez, D. Campos and E. P. Zemskov, Variational principles and the shift in the front speed due to a cutoff, Phys. Rev. E 72, 056113 (2005)
44. E. P. Zemskov and V. Méndez, Propagation of fronts in activator-inhibitor systems with cutoff, Eur. Phys. J. B 48, 81 (2005)
43. D. Campos, J. Fort and V. Méndez, Transport on fractal river networks. Application to migration fronts, Theor. Popul. Biol. 69, 88 (2006)
42. V. Méndez and V. Ortega-Cejas, Front propagation in hyperbolic fractional reaction-diffusion equations, Phys. Rev. E 71, 057105 (2005)
41. D. Campos and V. Méndez, Reaction-diffusion wave fronts in comblike structures, Phys. Rev. E 71, 051104 (2005)
40. V. Mendez, D. Campos, and S. Fedotov, Analysis of fronts in reaction-dispersal processes, Phys. Rev. E. 70, 066129 (2004).
39. D. Campos, J. Fort and V. Méndez, Propagation through fractal media: the Sierpinski gasket and the Koch curve, Europhys. Lett. 68, 769 (2004)
38. V. Mendez, D. Campos, and S. Fedotov, Front propagation in reaction-dispersal models with finite jump speed, Phys. Rev. E. 70, 036121 (2004).
37. V. Méndez, D. Campos and J. Fort, Speed of travelling fronts: two-dimensional and ballistic dispersal probability distributions, Europhys. Lett. 66, 902 (2004)
36. T. Pujol, J. Fort and V. Méndez, Consequences of inter-specific competition among multiple adaptative species in daisyworld, Theor. Appl. Clim. 81, 137 (2005)
35. D. Campos, V. Méndez and J. Fort, Description of diffusive and propagative behavior on fractals, Phys. Rev. E 69, 031115 (2004)
34. V. Ortega-Cejas, J. Fort, V. Méndez and D. Campos, Approximate solution to the speed of spreading viruses, Phys. Rev. E 69, 031909 (2004)
33. R. D. Benguria, M. C. Depassier and V. Méndez, Minimal speed of fronts of reaction-convection-diffusion equations, Phys. Rev. E 69, 031106 (2004)
32. V. Méndez, D. Campos and J. Fort, Dynamical features of reaction-diffusion fronts in fractals, Phys. Rev. E 69, 016613 (2004)
31. V. Méndez, J. Fort, H. Rotstein and S. Fedotov, Speed of reaction-diffusion fronts in spatial heterogeneous media, Phys. Rev. E. 68, 041105 (2003).
30. V. Ortega-Cejas, J. Fort and V. Méndez, Role of the delay time in the modelling of biological range expansions, Ecology 85, 258 (2004)
29. V. Méndez, J. Fort and T. Pujol, The speed of reaction-diffusion wavefronts in nonsteady media, J. of Physics A: Math. Gen. 36, 3983 (2003)
28. V. Méndez, J. Fort and T. Pujol, Effect of initial conditions on the speed of reaction-diffusion fronts, Phys. Rev. E 67, 016213 (2003)
27. S. Fedotov and V. Méndez, Continuous Time Random Walks and traveling fronts, Phys. Rev. E 66, 030102 (R) (2002)
26. V. Méndez, T. Pujol and J. Fort, Dispersal probability distributions and the wavefront speed problem, Phys. Rev. E 65, 041109 (2002)
25. J. Fort and V. Méndez, Wavefronts in time-delayed reaction-diffusion systems. Theory and comparison to experiment, Rep. Progr. Phys. 65, 895 (2001)
24. J. Fort and V. Méndez,Time-delayed spread of viruses in growing plaques, Phys. Rev. Lett. 89, 178101 (2002)
23. J. Fort and V. Méndez, On approximated solutions to the speed of fronts, J. Stat. Phys. 107, 805 (2002)
22. V. Méndez and J. Fort, Speed of reaction-transport processes, Phys. Rev. E, 64, 011105 (2001)
21. V. Méndez and J. Fort, Dynamical evolution of discrete epidemic models, Physica A 284, 309 (2000)
20. L. P. Chimento, V. Méndez and N. Zuccalá, Cosmological models arising from generalized scalar field potentials, Classical and Quantum Gravity 16, (1999) 3749
19. V. Méndez, J. Fort and J. Farjas, Speed of wave-fronts solutions to hyperbolic reaction-diffusion equations, Physical Review E 60, (1999) 5231
18. V. Méndez and J. Fort, Irreversible thermodynamics of Poisson process with reaction, Physical Review E 60, (1999) 6168
17. J. Fort and V. Méndez, Reaction-diffusion waves of advance in the transition to agricultural economics, Physical Review E 60, (1999) 5894
16. J. Fort and V. Méndez, Time-delayed theory of the neolithic transition in Europe, Physical Review Letters 82 (1999) 867. Featured in “de Volkskrant“.
15. J. Fort, J. Casas-Vázquez and V. Méndez, Extended irreversible thermodynamics of chemically reacting systems. Journal of Physical Chemistry B 103 (1999) 860
14. V. Méndez and A. Compte, Wavefronts in bistable hyperbolic reaction-diffusion systems. Physica A 260 (1998) 90
13. V. Méndez, Epidemic models with infected-infectious period. Physical Review E 57 (1998) 3622
12. V. Méndez, Variational principles for nonlinear dynamical systems, Journal of Mathematical Physics 39 (1998) 954
11. L. P. Chimento, A. S. Jakubi and V. Méndez, New cosmological solutions and stability analysis in full extended thermodynamics, International Journal of Modern Physics D 7 (1998) 177
10. L. P. Chimento, A. S. Jakubi, V. Méndez and R. Maartens, Cosmological solutions with nonlinear bulk viscosity, Classical and Quantum Gravity 14 (1997) 3363
9. V. Méndez and J. E. Llebot, Hyperbolic reaction-diffusion equations for a forest fire model, Physical Review E 56 (1997) 6557
8. V. Méndez, Nonlinear hyperbolic heat conduction, Journal of Nonequilibrium Thermodynamics 22 (1997) 217
7. V. Méndez and J. Camacho,Dynamics and Thermodynamics of delayed population growth, Physical Review E 55 (1997) 6476
6. R. Maartens and V. Méndez, Nonlinear bulk viscosity and inflation, Physical Review D 55 (1997) 1937
5. V. Méndez, D. Pavón and J. Salim, Absortion of gravitational radiation by the cosmic fluid, Classical and Quantum Gravity 14 (1997) 77
4. V. Méndez, Exact scalar field cosmologies with a fluid, Classical and Quantum Gravity 13 (1996) 3229
3. V. Méndez and D. Pavón, Exact solutions connecting radiation and matter eras using imperfect fluids. Monthly Notices of the Royal Astronomical Society 282 (1996) 753
2. V. Méndez and J. Triginer, Qualitative analysis of causal cosmological models. Journal of Mathematical Physics 37 (1996) 2906
1. V. Méndez and D. Pavón, Expanding models with a varying cosmological term and bulk stress. General Relativity and Gravitation 28 (1996) 679