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Stability and bifurcation analysis of an amensalism system with Allee effect
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Stability and bifurcation analysis of an amensalism system with Allee effect
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Journal Article
Stability and bifurcation analysis of an amensalism system with Allee effect
2020
Overview
In this work, we propose and study a new amensalism system with Allee effect on the first species. First, we investigate the existence and stability of all possible coexistence equilibrium points and boundary equilibrium points of this system. Then, applying the Sotomayor theorem, we prove that there exists a saddle-node bifurcation under some suitable parameter conditions. Finally, we provide a specific example with corresponding numerical simulations to further demonstrate our theoretical results.
Publisher
Springer Nature B.V
Subject
