Stability and Bifurcation in a Predator–Prey Model with the Additive Allee Effect and the Fear Effect
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- Li, Zhong & Han, Maoan & Chen, Fengde, 2014. "Almost periodic solutions of a discrete almost periodic logistic equation with delay," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 743-751.
- Zhang, Huisen & Cai, Yongli & Fu, Shengmao & Wang, Weiming, 2019. "Impact of the fear effect in a prey-predator model incorporating a prey refuge," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 328-337.
- Agus Suryanto & Isnani Darti & Syaiful Anam, 2017. "Stability Analysis of a Fractional Order Modified Leslie-Gower Model with Additive Allee Effect," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2017, pages 1-9, May.
- Xu, Junyan & Zhang, Tonghua & Han, Maoan, 2019. "A regime switching model for species subject to environmental noises and additive Allee effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
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- Binhao Hong & Chunrui Zhang, 2023. "Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect," Mathematics, MDPI, vol. 11(6), pages 1-13, March.
- Pal, Debjit & Kesh, Dipak & Mukherjee, Debasis, 2023. "Qualitative study of cross-diffusion and pattern formation in Leslie–Gower predator–prey model with fear and Allee effects," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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Keywords
fear effect; additive allee effect; saddle-node bifurcation; transcritical bifurcation; hopf bifucation;All these keywords.
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