Abstract:

Stability and uniqueness of positive solutions for a food chain model with Beddington-DeAngelis functional response are discussed. The a prior estimates and the sufficient and necessary conditions for the existence of positive solutions are obtained. In addition, the sufficient conditions for the stability and uniqueness of positive solutions are investigated. Finally, we make some numerical simulations to verify and complement the theoretical analysis.

Key words: food chain model; Beddington-DeAngelis functional response; stability; uniqueness; numerical simulations