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Role of Allee effect in prey and hunting cooperation in a generalist predator
Mathematics and Computers in Simulation ( IF 4.4 ) Pub Date : 2021-06-02 , DOI: 10.1016/j.matcom.2021.05.023
Krishnanand Vishwakarma , Moitri Sen

Cooperation is a very common phenomenon in the predator population. It can also be considered as one kind of Allee effect. By cooperation, we mean that the consumption rate per predator is dependent on the density of the predator. Despite a few recent studies the study of such systems is rare in the literature. It is well known from previous studies that incorporation of Allee effect in prey population enables the models to address many complex dynamical features. On the other hand, the dynamics of a generalist predator in a prey–predator system is also a very important area of research on populations. In this work, we concentrate on a model where Allee effect is incorporated in the prey growth in the presence of hunting cooperation in a generalist predator to observe how the Allee effect and the hunting cooperation affect the dynamics. Here we mainly study the stability and bifurcation of the system and hence describe the global dynamics to see how the Allee effect in prey and hunting cooperation affect the system dynamics.



中文翻译:

Allee 效应在通用捕食者的猎物和狩猎合作中的作用

合作是捕食者群体中非常普遍的现象。它也可以被认为是一种 Allee 效应。通过合作,我们的意思是每个捕食者的消耗率取决于捕食者的密度。尽管最近有一些研究,但对此类系统的研究在文献中很少见。从先前的研究中众所周知,在猎物种群中加入 Allee 效应使模型能够解决许多复杂的动态特征。另一方面,猎物-捕食者系统中通才捕食者的动态也是种群研究的一个非常重要的领域。在这项工作中,我们专注于一个模型,其中在通才捕食者存在狩猎合作的情况下,将 Allee 效应纳入猎物生长中,以观察 Allee 效应和狩猎合作如何影响动力学。

更新日期:2021-06-20
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