Mathematical and numerical analysis of a three‐species predator‐prey model with herd behavior and time fractional‐order derivative
By Behzad Ghanbari, Salih Djilali. Mathematical methods in the applied sciences, 2019
100 citations recorded by the source corpus.
In this paper, we investigate with a time fractional‐order derivative in a three‐species predator‐prey model with the presence of prey social behavior. A new approximation for predator‐prey interaction in the presence of prey social behavior has been considered. For the model analysis, the study has been divided into two principal parts. First of all, we study the local stability of the equilibria and the existence of Hopf bifurcation. Then, for the numerical analysis, the Caputo fractional derivative operator is utilized to approximate the numerical solution of the model. An excellent agreement is seen between the numerical results and the theoretical predictions.
Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/12b32d1652088511415962511336354057146da9
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In Applied Mathematics
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): “In the past few years, 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.…”