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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


Dynamics of a Stage-Structured-Prey and Predator Model with Linear Harvesting of Mature Prey and Predator

Discontinuity, Nonlinearity, and Complexity 10(1) (2021) 61--75 | DOI:10.5890/DNC.2021.03.005

Md. Manarul Haque, Sahabuddin Sarwardi

Department of Mathematics $&$ Statistics, Aliah University, IIA/27, New Town, Kolkata - 700 160, India

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In this paper we have studied the dynamical behaviors of stage-structured-prey and predator model with linear harvesting of both mature prey and predator. Optimal harvesting policy, positivity, boundedness and Hopf-bifurcation have been studied. Finally, some graphical and numerical simulations are given in order to validate our analytical and theoretical findings.


Authors are thankful to the Department of Mathematics $\&$ Statistics, Aliah University for providing opportunities to perform the present work. The corresponding author Dr. S. Sarwardi is thankful to his Ph.D. supervisor Prof. Prashanta Kumar Mandal, Department of Mathematics, Visva-Bharati (a Central University) for his generous help and continuous encouragement while preparing


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