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Dynamics of a delay-diffusion prey-predator model with disease in the prey

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Abstract

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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Authors and Affiliations

  1. Department of Applied Mathematics, University of Calcutta, 92, A. P. C. Road, 700 009, Kolkata, India

    B. Mukhopadhyay & R. Bhattacharyya

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  1. B. Mukhopadhyay
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  2. R. Bhattacharyya
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Correspondence to B. Mukhopadhyay.

Additional information

Banibrata Mukhopadhyay is continuing his research work for the Ph.D. degree in the University of Calcutta. His research interests are Dynamical modeling involving diffusion and delay differential equations with application to complex biological systems.

Rakhi Bhattacharyya has recently submitted her thesis for Ph. D. degree of the University of Calcutta. She has obtained her M. Sc. and M. Phil. degrees from the University of Calcutta. Her research interest focus on stability and bifurcation analysis of dynamical models with application to biological systems.

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Mukhopadhyay, B., Bhattacharyya, R. Dynamics of a delay-diffusion prey-predator model with disease in the prey. JAMC 17, 361–377 (2005). https://doi.org/10.1007/BF02936062

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