4.6 Article

DYNAMICS OF A DELAY-DIFFUSION PREY-PREDATOR MODEL WITH DISEASE IN THE PREY

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JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
卷 17, 期 1-2, 页码 361-377

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SPRINGER HEIDELBERG
DOI: 10.1007/BF02936062

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Prey-predator system; persistence; impermanence; discrete time delay; diffusivity

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A mathematical model dealing with a prey-predator system with disease in the prey is considered. The functional response of the predator is governed by a Hoilling type-II function. Mathematical analysis of the model regarding stability and persistence has been performed. The effect of delay and diffusion on the above system is studied. The role of diffusivity on stability and persistence criteria of the system has also been discussed.

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