ISSN NO:2394-2401 (Online)

ISSN NO:2394-384X (Print)

IMPACT FACTOR:4.129

CALL FOR PAPERS      SUBMISSION LAST DATE   31th December, 2017 FOR JANUARY ISSUE      

INTERNATIONAL INDEXED JOURNAL                            MONTHLY PRINTED

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International Journal of Sciences and Applied Research (IJSAR) is a peer reviewed, open access International Scientific Journal dedicated for rapid publication of high quality original research articles as well as review articles in major areas of basic and applied sciences. International Journal of Sciences and Applied Research is published monthly. IJSAR with an internationally recognized editorial board emphasizes on producing high quality research content in a timely manner.

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Tittle : Optimal Control and Bifurcation Study of Habitat Destruction Model with Three-Species

Author(s) : Saba Mohammed Alwan and Abdo Mothanaa Al-Mahdi 

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Abstract:

This paper is devoted to study the problem of optimal control of habitat destruction model with prey-predator -top predator and the bifurcation behavior of the system. Using the Lyapunov technique and Krasovsikii theorem, the optimal control functions ensuring asymptotic stability of system steady states are obtained and found to be as functions of the phase state and time. As an application, it was shown that the equilibrium states of the habitat destruction model with preypredator-top predator system are asymptotic stable. Bifurcation phenomena of the system at the
trivial solution is studied and presented graphically. Numerical examples are presented graphically to illustrate the theoretical obtained results and the efficient of the used methods.

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