Dynamical analysis of a delayed food chain model with additive Allee effect

Advances in Difference Equations

article

Vinoth, S.¹  Sivasamy, R.²  Sathiyanathan, K.¹  Rajchakit, Grienggrai³  Hammachukiattikul, P.⁴  Vadivel, R.⁴  Gunasekaran, Nallappan⁵ 

[1] Department of Mathematics, SRMV College of Arts and Science;Department of Science and Humanities, M. Kumarasamy College of Engineering;Department of Mathematics, Faculty of Science, Maejo University;Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University;Department of Mathematical Sciences, Shibaura Institute of Technology

关键词: Food chain model;    Time-delay;    Allee effect;    Stability analysis;    Hopf bifurcation;   

DOI  :  10.1186/s13662-021-03216-z

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Dynamical analysis of a delayed tri-trophic food chain consisting of prey, an intermediate, and a top predator is investigated in this paper. The additive Allee effect is introduced in the prey population, and it is assumed that there is a time lag due to the gestation effect in the intermediate predator. The interference among the prey and the intermediate predator is according to Holling type II, while the interaction between the intermediate and top predators follows the Crowley–Martin functional response. The local stability and bifurcation analysis of the proposed model at the interior equilibrium point are studied. Numerical simulations are provided to ensure the mathematical results.

【 授权许可】

CC BY