Quadratic harvesting in a fractional order scavenger model

Selvam, A. George Maria; Dhineshbabu, R.; Jacob, S. Britto

doi:10.1088/1742-6596/1139/1/012002

Cited by 5 publications

(1 citation statement)

References 3 publications

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“…Thus, it is necessary to bring forth some conservation policy for optimal harvesting of species. Myerscough et al [20] reported the effects of predator harvesting on ecosystem, harvesting and its effects in aquasystem was studied in [16], [19] studied the prey-predator system with constant harvesting policy and the fractional order model of quadratic harvesting of scavenger was studied in [23].…”

Section: Introductionmentioning

confidence: 99%

Discretization and chaos control in a fractional order predator-prey harvesting model

Selvam¹,

Janagaraj²,

Vignesh³

2021

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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The study of interaction between predator and prey species is one of the important subjects in mathematical biology. Optimal strategy control plays a vital role in preserving animals from extinction. Harvesting of species is a vital issue for the conservation biologists. In this work, we investigate the bifurcation and chaos control of the two species interaction model of fractional order in discrete time with harvesting of both prey and predator species. Existence results and the stability conditions of the system are analyzed using the fixed points and jacobian matrix. The chaotic behavior of the system is discussed with bifurcation diagrams. Linear control and hybrid control methods are used in controlling the chaos of the system. Numerical experiments with different phase portraits are simulated for the better understanding of the qualitative behavior of the considered model.

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