Abstract
This paper deals with the dynamics of a delayed cooperative system without quasimonotonicity. Using the contracting rectangles, we obtain a sufficient condition on the stability of the unique positive steady state of the functional differential system. When the spatial domain is whole R , the existence and nonexistence of traveling wave solutions are investigated, during which the asymptotic behavior is investigated by the contracting rectangles.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference35 articles.
1. The Biology of Mutualism: Ecology and Evolution;Boucher,1985
2. Spatiotemporal Patterns in Ecology and Epidemiology: Theory, Models and Simulatio;Malchow,2008
3. Persistence analysis in a Kolmogorov-type model for cancer-immune system competition;Bianca;AIP Conf. Proc.,2013
4. ODEs approaches in modeling fibrosis
5. Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems;Smith,1995
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