Abstract
The existence of a positive periodic solution for the semi-ratio-dependent predator-prey system with Holling IV functional response is established by using the continuous theorem of coincidence degree theory. And a set of easily veribible sufficient conditions is derived by constructing a Lyapunov function. Numerical simulations are also exhibited to illustrate the validity of the results in this paper.
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This work is supported by Scientific Research Fund of Heilongjiang Provincial Education Department of PR China (NO.11531428).
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Zhang, L., Lu, C. Periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response. J. Appl. Math. Comput. 32, 465–477 (2010). https://doi.org/10.1007/s12190-009-0264-3
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DOI: https://doi.org/10.1007/s12190-009-0264-3
Keywords
- Nonmonotonic functional response
- Semi-ratio-dependent Predator-prey system
- Periodic solution
- Lyapunov functional
- Global stability