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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


Holling-Tanner Predator-Prey Model with Type-IV Functional Response and Harvesting

Discontinuity, Nonlinearity, and Complexity 10(1) (2021) 151--159 | DOI:10.5890/DNC.2021.03.011

Nurul Huda Gazi, Subrata Kumar Biswas

Department of Mathematics and Statistics, Aliah University, IIA/27, Newtown, Kolkata-700160, India

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In this paper we modify Holling-Tanner predator-prey model by using type-IV functional response in prey species in lieu of type-II functional response. Harvesting is used in predator as well as prey species. This model is compared with a special type of Kolmogorov model. In the case of quadratic harvesting, the fixed points are computed after nondimensionalization. For the non-existence of periodic orbits in the first quadrant we apply a condition of the general Kolmogorov model to exist a Dulac function. We show that this system does not have periodic orbits with the help of numerical simulation and graphical representation.


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