Stability and Bifurcation of a Prey-Predator System with Additional Food and Two Discrete Delays

作     者：Ankit Kumar Balram Dubey 

作者机构：Department of MathematicsBITS PilaniPilani CampusPilani333031India 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2021年第126卷第2期

页      面：505-547页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：University Grants Commission  UGC 

主　　题：predator delay system 

摘      要：In this paper,the impact of additional food and two discrete delays on the dynamics of a prey-predator model is *** interaction between prey and predator is considered as Holling Type-II functional *** additional food is provided to the predator to reduce its dependency on the *** delay is the gestation delay in predator while the other delay is the delay in supplying the additional food to *** positivity,boundedness and persistence of the solutions of the system are studied to show the system as biologically *** existence of steady states,their local and global asymptotic behavior for the non-delayed system are *** is shown that(i)predator’s dependency factor on additional food induces a periodic solution in the system,and(ii)the two delays considered in the system are capable to change the status of the stability behavior of the *** existence of periodic solutions via Hopf-bifurcation is shown with respect to both the *** analysis shows that both delay parameters play an important role in governing the dynamics of the *** direction and stability of Hopf-bifurcation are also investigated through the normal form theory and the center manifold *** experiments are also conducted to validate the theoretical results.