一类带B-D反应项的食物链模型正解的稳定性和惟一性

Stability and uniqueness of positive solutions for a food chain model with B-D functional response

研究了一类带Beddington-DeAngelis反应项的食物链模型正解的稳定性和惟一性。给出了正解的先验估计以及正解存在的充分和必要条件,并讨论了正解稳定性和惟一性的充分条件。最后运用数值模拟对理论分析进行了验证和补充。

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