Coexistence states of a three-species cooperating model with diffusion. (English) Zbl 1219.92063
Summary: A Lotka-Volterra three-species time-periodic mutualism model with diffusion is investigated. Some sufficient conditions for the existence and estimates of coexistence states are established. With the assistance of functional analysis methods, some sufficient or necessary results for the existence of positive steady states of the model are presented. Our approach is mainly based on the skills of sub- and super-solutions for a general reaction-diffusion system.
MSC:
| 92D40 | Ecology |
| 35B10 | Periodic solutions to PDEs |
| 35K57 | Reaction-diffusion equations |
| 93A30 | Mathematical modelling of systems (MSC2010) |
Keywords:
sub- and super-solutionsReferences:
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