In this paper, we consider a two-predator–one-prey population model that incorporates both the inter-specific competition between two predator populations and the intra-specific competition within each predator population. We investigate the dynamics of this model by addressing the existence, local and global stability of equilibria, uniform persistence as well as saddle-node and Hopf bifurcations. Numerical simulations are presented to explore the joint impacts of inter-specific and intra-specific competition on competition outcomes. Though inter-specific competition along does not admit a stable coexistence equilibrium, with intra-specific competition, the coexistence of the two competing predator species becomes possible and the two coexisting predator species may maintain at two different equilibrium populations.

在本文中，我们考虑了两个捕食者－一个猎物种群模型，该模型既包含两个捕食者种群之间的种间竞争，又包含每个捕食者种群内的种内竞争。我们通过解决均衡的存在，局部和全局稳定性，均匀持久性以及鞍节点和Hopf分支来研究此模型的动力学。提出了数值模拟，以探索种间竞争和种内竞争对竞争结果的联合影响。尽管种间竞争不允许稳定的共存平衡，但随着种内竞争，两种竞争的捕食者物种的共存成为可能，并且两种共存的捕食者物种可能维持在两个不同的平衡种群中。