Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616259 | Journal of Mathematical Analysis and Applications | 2014 | 16 Pages |
Abstract
We consider a generalized Gause prey–predator model with T -periodic continuous coefficients. In the case where the Poincaré map PP over time T is well defined, the result of the paper can be explained as follows: we locate a subset U of R2R2 such that the topological degree d(I−P,U)d(I−P,U) equals to +1. The novelty of the paper is that the later is done under only continuity and (some) monotonicity assumptions for the coefficients of the model. A suitable integral operator is used in place of the Poincaré map to cope with possible nonuniqueness of solutions. The paper, therefore, provides a new framework for studying the generalized Gause model with functional differential perturbations and multi-valued ingredients.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Oleg Makarenkov,