Study of the interactive effect of prey toxin and optimal foraging strategy on a predator-prey model

作     者：Ya Li 

作者机构：School of Mathematics and Systems Science & LMIB Beijing 100191 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2018年第11卷第4期

页      面：95-110页

核心收录：

学科分类：0710[理学-生物学] 07[理学] 09[农学] 0904[农学-植物保护] 090401[农学-植物病理学] 090402[农学-农业昆虫与害虫防治] 071002[理学-动物学] 

基　　金：The author thanks the referees very much for their valuable comments and suggestions. The work is supported by the Fhndamental Research Funds for the Central Universities (No. 74005701)  National Natural Science Foundation of China (No. 11771033) 

主　　题：Predator-prey model toxicity optimal foraging stability bifurcation. 

摘      要：The optimal foraging theory predicts that predators choose prey with more net rate of energy intake and less energy costs if there are multiple food sources available. Toxins are found in many species in nature. Those toxins may be produced by prey as self- protection from predatory animals, or come from other sources such as pesticide residue. Therefore, it requires a balance between energy intake and toxicity damage. In order to study the interactive effect of prey toxin and optimal foraging strategy, we construct a predator-prey model with toxin-induced functional response and optimal foraging property. Dynamical analysis shows that the optimal strategy system presents more complex dynamical behavior than the fixed preference system. We conclude that optimal foraging strategy might play a key role in stabilizing or destabilizing the coexistence states of the species in the system, depending on the level of prey toxins.