Continuous-time formulation of reaction-diffusion processes on heterogeneous metapopulations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 1, 2008, Pages

  Saldaña, Joan ^a  

^a UNIVERSITY OF GIRONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; DIFFUSION IN LIQUIDS; MARKOV PROCESSES; SEMICONDUCTOR DOPING;

CONTINUOUS-TIME EQUATIONS; CONTINUOUS-TIME FORMULATION; DISCRETE-TIME; DYNAMICAL EQUATIONS; EPIDEMIC THRESHOLD; METAPOPULATIONS; REACTION-DIFFUSION PROCESSES; SCALE-FREE; TIME LIMIT;

CONTINUOUS TIME SYSTEMS;

EID: 48849089295     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.012902     Document Type: Article

References (14)

1. M. J. Keeling and K. T. D. Eames, J. R. Soc., Interface JRSICU 1742-5689 10.1098/rsif.2005.0051 2, 295 (2005).
2. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1137/S003614450342480 45, 167 (2003).
3. A. Lloyd and R. M. May, J. Theor. Biol. JTBIAP 0022-5193 10.1006/jtbi.1996.0042 179, 1 (1996).
4. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3200 86, 3200 (2001).
5. M. Kuperman and G. Abramson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2909 86, 2909 (2001).
6. M. E. J. Newman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.016128 66, 016128 (2002).
7. V. Colizza, R. Pastor-Satorras, and A. Vespignani, Nat. Phys. ZZZZZZ 1745-2473 3, 276 (2007).
8. R. H. MacArthur and E. O. Wilson, The Theory of Island Biogeography (Princeton University Press, Princeton, NJ, 1967).
9. V. Colizza, A. Barrat, M. Barthelemy, A.-J. Valleron, and A. Vespignani, PLoS Med. PMLEAC 1549-1277 4, 95 (2007).
10. V. Colizza and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.148701 99, 148701 (2007).
11. V. Colizza and A. Vespignani, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2007.11.028 251, 450 (2008).
12. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier, New York, 2004).
13. E. Renshaw, Modelling Biological Populations in Space and Time (Cambridge University Press, Cambridge, 1991).
14. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.026118 64, 026118 (2001).