On positive periodic solutions of the time-space periodic Lotka-Volterra cooperating system in multi-dimensional media. (English) Zbl 1517.35016
Summary: This work is devoted to the study of the time-space periodic reaction-diffusion-advection Lotka-Volterra cooperating system in multi-dimensional media. By using the method of sub-super solutions and its associated iterations, we prove the existence and uniqueness of the positive periodic solution under appropriate conditions. Finally, we are able to derive the asymptotic behavior of the solutions to the associated Cauchy problem.
MSC:
| 35B10 | Periodic solutions to PDEs |
| 35K57 | Reaction-diffusion equations |
| 92D25 | Population dynamics (general) |
Keywords:
positive periodic solution; cooperating system; existence; uniqueness; stability; method of sub-super solutionsReferences:
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