Periodic solutions of the \(N\)-preys and \(M\)-predators model with variable rates on time scales. (English) Zbl 1459.34188
Summary: In this paper, we establish the existence of periodic solution of a delayed predator-prey model with \(M\)-predators and \(N\)-preys over the time scales. We derive sufficient conditions for the existence of a periodic solution with the help of continuation theorem of coincidence degree theory. At the end, we give an example with numerical simulations to illustrate our analytical findings.
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34N05 | Dynamic equations on time scales or measure chains |
| 92D25 | Population dynamics (general) |
| 47N20 | Applications of operator theory to differential and integral equations |
| 34K13 | Periodic solutions to functional-differential equations |
Keywords:
time scale; prey-predator model; continuation theorem; coincidence degree; periodic solutionReferences:
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