In this paper, using a geometric approach, we study the global stability for a class of predator-prey model with an Ivlev-type functional response. We obtained this by sufficient conditions on the systems parameters, which guarantee that the positive equilibrium point of the presented system is globally asymptotically stable. Our results improve the previously obtained results from Xiaoqin Wang and Huihai Ma. We conjecture that the local and global stability of the positive equilibrium are equivalent. Our conjecture is supported by numerical simulations. The theoretical proof will be our future research effort.
|Commitee:||Ai, Shangbing, Howell, Kenneth|
|School:||The University of Alabama in Huntsville|
|School Location:||United States -- Alabama|
|Source:||MAI 81/5(E), Masters Abstracts International|
|Subjects:||Applied Mathematics, Ecology|
|Keywords:||Dynamical systems, Global stability, Ivlev-type functional response, Positive equilibrium, Predator-prey model|
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