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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Local Stability of Coexistence Point for Trophic Interaction Dynamics

Journal of Environmental Accounting and Management 8(2) (2019) 201--210 | DOI:10.5890/JAND.2019.06.004

M.M. Share Pasand

Department of Electrical and Electronics, Faculty of Electrical, Mechanical and Civil Engineering, Standard Research Institute, Alborz, Iran, 31745-139, Iran

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Abstract

Existence and local stability of a coexistence point are investigated for a class of nonlinear polynomial differential systems. The studied dynamical system may be used to represent dynamics of species populations in a trophic food chain with n distinguished populations. The presented model incorporates stage structured population dynamics and captures both predation and competition phenomena. Local stability is studied via introducing a change of variables and then applying the Lyapunov direct method. An example is given for clarification. The investigated model, enhances the previously presented differential equations for population dynamics via incorporating competition and stage structures in the general predator-prey model.

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