Discontinuity, Nonlinearity, and Complexity
Dynamics of a StageStructuredPrey and Predator Model with Linear Harvesting of Mature Prey and Predator
Discontinuity, Nonlinearity, and Complexity 10(1) (2021) 6175  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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Abstract
In this paper we have studied the dynamical behaviors of stagestructuredprey and predator model with linear harvesting of both mature prey and predator. Optimal harvesting policy, positivity, boundedness and Hopfbifurcation have been studied. Finally, some graphical and numerical simulations are given in order to validate our analytical and theoretical findings.
Acknowledgments
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, VisvaBharati (a Central University) for his generous help and continuous encouragement while preparing
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