Periodic Solution of Predator-prey Model in Semi Ratio Dependent with Holling III Type Functional Response and Impulsive Effect
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Yan Yan, Zhanji Gui, and Kaihua Wang
The paper studies the response of function with Holling III type and the dynamics of predator-prey system in semi-ratio dependent. Based on some mathematical analysis theories, the paper makes use of Mawhin's continuation theorem, which gives the existence theorem of periodic solution of the system. In the end, the paper gives a numerical simulation example, which gets the validity of the results.
Impulsive Equation, Sparse effect, Periodic Solution