Dynamic analysis of a Leslie-Gower predator-prey model with the fear effect and nonlinear harvesting
Author:
Affiliation:
1. School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, Fujian, China
2. College of Mathematics and Data Science, Minjiang University, Fuzhou 350108, Fujian, China
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine
Reference31 articles.
1. J. R. Beddington, J. G. Cooke, Harvesting from a prey-predator complex, Ecol. Model., 14 (1982), 155–177. https://doi.org/10.1016/0304-3800(82)90016-3
2. D. M. Xiao, L. S. Jennings, Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting, SIAM J. Appl. Math., 65 (2005), 737–753. https://doi.org/10.1137/s0036139903428719
3. P. H. Leslie, J. C. Gower, The properties of a stochastic model for the predator-prey type of interaction between two species, Biometrika, 47 (1960), 219–234. https://doi.org/10.1093/biomet/47.3-4.219
4. S. Rana, S. Bhattacharya, S. Samanta, Spatiotemporal dynamics of Leslie-Gower predator-prey model with Allee effect on both populations, Math. Comput. Simul., 200 (2022), 32–49. https://doi.org/10.1016/j.matcom.2022.04.011
5. M. X. He, Z. Li, Global dynamics of a Leslie-Gower predator-prey model with square root response function, Appl. Math. Lett., 140 (2023), 108561. https://doi.org/10.1016/j.aml.2022.108561
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