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Dynamics of a Prey–Predator System with Herd Behaviour in Both and Strong Allee Effect in Prey
Biophysics Pub Date : 2020-09-01 , DOI: 10.1134/s0006350920050036
S. Biswas , D. Pal , G. S. Mahapatra , G. P. Samanta

This paper mainly deals with the prey−predator dynamics where both the prey and predator exhibit herd behavior. Positivity, boundedness, some extinction criteria, stability of possible equilibrium points are discussed with some global behavior, in an innovative approach. Numerical simulations are represented to clarify the analytical discussions. The biological implications of analytical and numerical findings are discussed separately for the purpose of maintaining ecological balance in nature. At the end, the possibilities of future work related to this topic are represented.

中文翻译:

具有群体行为和猎物强 Allee 效应的猎物-捕食者系统的动力学

本文主要讨论猎物和捕食者都表现出群体行为的猎物-捕食者动力学。正性、有界性、一些灭绝标准、可能平衡点的稳定性以一种创新的方法与一些全局行为进行了讨论。数值模拟被表示以阐明分析讨论。为维持自然界的生态平衡,将单独讨论分析和数值结果的生物学意义。最后,介绍了与该主题相关的未来工作的可能性。
更新日期:2020-09-01
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