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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


A Study on Effects of Biotic Resources on a Prey-Predator Population

Discontinuity, Nonlinearity, and Complexity 10(3) (2021) 499--522 | DOI:10.5890/DNC.2021.09.011

Manotosh Mandal$^{1,2}$, Soovoojeet Jana $^3$ , Swapan Kumar Nandi$^4$, T. K. Kar$^2$

$^{1}$ Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk -721636 , West Bengal, India

$^2$ Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India

$^3$ Department of Mathematics, Ramsaday College, Amta-711401, Howrah, West Bengal, India

$^4$ Department of Mathematics, Nayabasat P.M.Sikshaniketan, Paschim Medinipur-721253, West Bengal, India

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The environmental carrying capacities for the prey population and the predator population are restricted by their availability of foods. In this article, we introduce a prey-predator type ecological model in which the prey and predator have different biotic resources for food. Therefore the suggested predator-prey model depends on the ratio-dependent ecological model which can be applied in the study of food chains. The details dynamical behaviour of the proposed model has been carried out. The different bifurcations and numerical analyzes are demonstrated to illustrate the dynamical behavior of our proposed model system.


Research of T. K. Kar is supported by the Council of Scientific and Industrial Research(CSIR), India (File No.25(300)/19/EMR-II, dated:16th May, 2019). Moreover, the authors are very much grateful to the anonymous reviewers and the editor Prof. Dimitri Volchenkov for their constructive comments and useful suggestions to improve the quality and presentation of the manuscript significantly.


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