Oscillation of a class of partial functional population model. (English) Zbl 1189.35344
Summary: This paper is concerned with the oscillation of a class of partial functional population model, and some sufficient conditions for all positive solutions of the model to oscillate about the positive equilibrium are obtained. The approach is based on the upper- and lower-solution method of the partial functional differential equations and the oscillation theory of the functional differential equation. Moreover, some numerical simulations are also given to illustrate our results.
MSC:
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 92D25 | Population dynamics (general) |
| 35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
| 35A15 | Variational methods applied to PDEs |
| 35B09 | Positive solutions to PDEs |
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