Dynamic behavior of a fractional order prey-predator model with group defense
By J. Alidousti, Elham Ghafari. 2020
50 citations recorded by the source corpus.
Abstract In this paper, we consider a fractional order prey predator model with a prey and two predator species with the group defense capability. In this model, we use the Holling-IV functional response, called Monod-Haldane function, for interactions between prey and predator species. Boundedness of the solution will be proved. Local stability of system’s equilibrium points will be investigated analytically and the required conditions for existence of Hopf bifurcation will be obtained. Finally, by using numerical methods, the validity of the obtained results and more dynamical behaviors of system, such as chaotic and periodic solutions will be assessed.
Subfields: Geometry and Topology, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/0068ec259cd07d7e85272a864bb1ce334eea4d29
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In Geometry and Topology
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- A study on fractional predator–prey–pathogen model with Mittag–Leffler kernel‐based operators (2020, background): “…various types of predator–prey models have been perused by many authors such as Kumar et al. [54, 55], Ghanbari et al. [56–59], Huang et al. [60], Alidousti et al. [61], Zhou et al. [62], Wang et al. [63], Das et al. [64], Li et al. [65], Ghaziani et al. [66], Ahmed et al. [67] and Yu et al. [68].”