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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

Stochastic Two Species Model with Prey Refuge: an Application to Keoladeo National Park, India

Journal of Applied Nonlinear Dynamics 8(3) (2019) 367--382 | DOI:10.5890/JAND.2019.09.003

Shashi Kant

India Meteorological Department, Bhubaneswar, 751020, India

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Abstract

In this paper, we investigate a stochastic two species prey-predator system with prey refuge. The contribution of this paper is (a) To Propose a Lotka-Volterra stochastic model with prey refuge (b) Singular cases are very interesting and it is found that without the prey population, the predators died with probability one while without predator population prey population fallen between 0 & ∞. Impact of refuge term is also observed. (c) The Radon-Nikodym Derivative is derived for the proposed model (d) Asymptomatic analysis and moment estimation for the proposed model is also carried out. As a possible application of proposed stochastic model, Keoladeo National Park, India is considered.

References

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