What is it about?
Persistence is of great importance to study the survival of living organisms and their non-extinction within a specific environment. In this research, the sufficient conditions for uniformly persistence of a food chain prey-predator model with prey refuge and harvesting have been found. By creating suitable Lyapunov functions, a set of sufficient conditions that can be checked easily are gotten for the global asymptotic stability of the model. The conditions of the local bifurcation are determined, it’s noticed that near axial and free-second predator equilibrium points there is a transcritical bifurcation, otherwise near the free-second predator equilibrium point there is a pitchfork bifurcation, while near the coexistence equilibrium point there is a saddle-node bifurcation . Additional realizations for the Hopf bifurcation close to coexistence equilibrium point have been done. The validity of our main results was demonstrated by numerical analysis.
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Why is it important?
Persistence is of great importance to study the survival of living organisms and their non-extinction within a specific environment.
Perspectives
Writing this article was so much fun because it had co-authors that I had been collaborating with for a long time. This article also leads to knowing the factors affecting the extinction of living organisms coexisting within a specific environment and thus avoiding disruption of the ecosystem
Zina Alabacy
University of Technology
Read the Original
This page is a summary of: The persistence and bifurcation analysis of an ecological model with fear effect involving prey refuge and harvesting, January 2022, American Institute of Physics,
DOI: 10.1063/5.0121877.
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