ASYMPTOTIC-BEHAVIOR OF REACTION-DIFFUSION SYSTEMS IN POPULATION AND EPIDEMIC MODELS - THE ROLE OF CROSS DIFFUSION

Citation
V. Capasso et A. Diliddo, ASYMPTOTIC-BEHAVIOR OF REACTION-DIFFUSION SYSTEMS IN POPULATION AND EPIDEMIC MODELS - THE ROLE OF CROSS DIFFUSION, Journal of mathematical biology, 32(5), 1994, pp. 453-463
Citations number
29
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
03036812
Volume
32
Issue
5
Year of publication
1994
Pages
453 - 463
Database
ISI
SICI code
0303-6812(1994)32:5<453:AORSIP>2.0.ZU;2-D
Abstract
Cross diffusion has been widely considered in the mathematical modelli ng of spatially structured ecological and epidemic systems, either in the mechanical description of diffusion or in the stochastic point pro cess description of interacting populations. In this paper mathematica l results recently obtained by the authors about the asymptotic behavi our of reaction-diffusion systems with full matrices of diffusion are applied to classes of biological systems.