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
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.