The Bifurcation analysis of Prey-Predator Model in The Presence of Stage Structured with Harvesting and Toxicity

Azhar Abbas Majeed; Moayad H. Ismaeeb

doi:doi:10.1088/1742-6596/1362/1/012155

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Publication Date

Fri Nov 01 2019

Journal Name

Journal Of Physics: Conference Series

Volume

1362

DOI

doi:10.1088/1742-6596/1362/1/012155

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The Bifurcation analysis of Prey-Predator Model in The Presence of Stage Structured with Harvesting and Toxicity

Azhar Abbas Majeed

Moayad H. Ismaeeb

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AbstractFor a mathematical model the local bifurcation like pitchfork, transcritical and saddle node occurrence condition is defined in this paper. With the existing of toxicity and harvesting in predator and prey it consist of stage-structured. Near the positive equilibrium point of mathematical model on the Hopf bifurcation with particular emphasis it established. Near the equilibrium point E0 the transcritical bifurcation occurs it is described with analysis. And it shown that at equilibrium points E1 and E2 happened the occurrence of saddle-node bifurcation. At each point the pitch fork bifurcation occurrence is not happened. For the occurrence of local bifurcation illustration there used some numerical simulation.