187
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation

&
Article: 2366495 | Received 27 Jan 2023, Accepted 04 Jun 2024, Published online: 20 Jun 2024

References

  • Leslie PH. Some future notes on the use of matrices in population mathematics. Biometrika. 1948;35:213–245. doi: 10.1093/biomet/35.3-4.213
  • Leslie PH, Gower JC. The properties of a stochastic model for the predator-prey type of interaction between two species. Biometrika. 1960;47:219–234. doi: 10.1093/biomet/47.3-4.219
  • MA Aziz-Alaoui. Study of a Leslie-Gower–type tritrophic population model. Chaos, Solitons Fract. 2002;14:1275–1293. doi: 10.1016/S0960-0779(02)00079-6
  • Nindjin AF, MA Aziz-Alaoui, Cadivel M. Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay. Nonl Anal. 2006;7:1104–1118. doi: 10.1016/j.nonrwa.2005.10.003
  • C Arancibia-Ibarra, Flores J. Dynamics of a Leslie-Gower predator-prey model with Holling-type II functional response, Allee effect and a generalist predator. Math Comput Simul. 2021;188:1–22. doi: 10.1016/j.matcom.2021.03.035
  • Abid W, Yafia R, MA Aziz-Alaoui, et al. Dynamics analysis and optimality in selective harvesting predator-prey model with modified Leslie-Gower and Holling-Type II. Nonauton Dyn Syst. 2019;6:1–17. doi: 10.1515/msds-2019-0001
  • Alves MT, Hilker FM. Hunting cooperation and Allee effects in predators. J Theoret Biol. 2017;419:13–22. doi: 10.1016/j.jtbi.2017.02.002
  • Xu DS, Liu M, Xu XF. Analysis of a stochastic predator-prey system with modified Leslie-Gower and Holling-type IV schemes. Phys A. 2020;537:122761. doi: 10.1016/j.physa.2019.122761
  • Zhou DX, Liu M, Liu ZJ. Persistence and extinction of a stochastic predator-prey model with modified Leslie-Gower and Holling-type II schemes. Adv Differ Equ. 2020;179:1–16.
  • Liu M. Dynamics of a stochastic regime-switching predator-prey model with modified Leslie-Gower Holling-type II schemes and prey harvesting. Nonl Dyn. 2019;96:417–442. doi: 10.1007/s11071-019-04797-x
  • Lv JL, Wang K. Stochastic predator-prey model with Leslie-Gower and Holling-type II schemes with regime switching. Rocky Mt J Math. 2018;48:1201–1218. doi: 10.1216/RMJ-2018-48-4-1201
  • Wei CJ, Liu JN, Zhang SW. Analysis of a stochastic eco-epidemiological model with modified Leslie-Gower functional response. Adv Differ Equ. 2018;119:1–17.
  • Li XY, Mao XR. Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Discrete Contin Dyn Syst. 2009;24:523–545. doi: 10.3934/dcds.2009.24.523
  • Lv JL, Wang K. Asymptotic properties of a stochastic predator-prey system with Holling II functional response. Commun Nonl Sci Numer Simul. 2011;16:4037–4048. doi: 10.1016/j.cnsns.2011.01.015
  • Zhao DL, Yuan SL. Dynamics of the stochastic Leslie-Gower predator-prey system with randomized intrinsic growth rate. Phys A. 2016;461:419–428. doi: 10.1016/j.physa.2016.06.010
  • Ji CY, Jiang DQ, Shi NZ. Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation. J Math Anal Appl. 2009;359:482–498. doi: 10.1016/j.jmaa.2009.05.039
  • Higham DJ. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev. 2001;43:525–546. doi: 10.1137/S0036144500378302