Dynamics of impulsive reaction-diffusion predator-prey system with Holling type III functional response

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Abstract

An impulsive reaction-diffusion periodic predator-prey system with Holling type III functional response is investigated in the present paper. Sufficient conditions for the ultimate boundedness and permanence of the predator-prey system are established based on the upper and lower solution method and comparison theory of differential equation. By constructing an appropriate auxiliary function, the conditions for the existence of a unique globally stable positive periodic solution are also obtained. Some numerical examples are presented to verify our results. A discussion is given at the end. © 2011 Elsevier Inc.

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Liu, Z., Zhong, S., Yin, C., & Chen, W. (2011). Dynamics of impulsive reaction-diffusion predator-prey system with Holling type III functional response. Applied Mathematical Modelling, 35(12), 5564–5578. https://doi.org/10.1016/j.apm.2011.05.019

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