Stage-structured control on a class of predator-prey system in almost periodic environment. (English) Zbl 1444.34066
Summary: In this paper, we consider a class of stage-structured predator-prey systems with two predators and general functional responses. By applying the comparison theorem, Lyapunov functional and Mawhin’s continuation theorem of coincidence degree theory, this paper gives some new sufficient conditions for the uniform persistence, globally asymptotical stability and almost-periodic solutions for the above system. Two examples and numerical simulations are provided to illustrate the main results of this paper.
MSC:
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
| 34D20 | Stability of solutions to ordinary differential equations |
| 34C27 | Almost and pseudo-almost periodic solutions to ordinary differential equations |
| 92D25 | Population dynamics (general) |
| 47N20 | Applications of operator theory to differential and integral equations |
| 34D23 | Global stability of solutions to ordinary differential equations |
Keywords:
almost-periodic oscillation; coincidence degree; predator-prey; stage structure; general functional responseReferences:
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