Dynamical behavior of a stage structured prey-predator model

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Kant Shashi; KUMAR VIVEK

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2016 | Volume:7 | Issue:1 Page(s): 231-241

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Title

Dynamical behavior of a stage structured prey-predator model

Author(s)

Kant Shashi | KUMAR VIVEK | Issue Writer Certificate

Keywords

Stage Structured Population

Global Stability

Local Stability

Abstract

In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary di erential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to obtain the conditions for which our model exhibits stability around the possible equilibrium points. Besides this a rigorous Global Stability analysis has been performed for our proposed model by using Li and Muldowney approach (geometric approach). Global Stability conditions for the proposed model are described in the form of theorem. This is not a case study, hence the real parameters are not available for this model. However, model may be simulated by using hypothetical set of parameters. Investigation of real parameters for the proposed model is an open problem.

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APA: Copy

Kant, Shashi, & KUMAR, VIVEK. (2016). Dynamical behavior of a stage structured prey-predator model. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 7(1), 231-241. SID. https://sid.ir/paper/340736/en

Vancouver: Copy

Kant Shashi, KUMAR VIVEK. Dynamical behavior of a stage structured prey-predator model. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2016;7(1):231-241. Available from: https://sid.ir/paper/340736/en

IEEE: Copy

Shashi Kant, and VIVEK KUMAR, “Dynamical behavior of a stage structured prey-predator model,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 7, no. 1, pp. 231–241, 2016, [Online]. Available: https://sid.ir/paper/340736/en

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