Zhai Shuqi, Wang Qinglong, Yu Ting
School of Mathematics and Statistics, Hubei Minzu University, Enshi 445000, China.
Math Biosci Eng. 2022 Aug 18;19(12):11983-12012. doi: 10.3934/mbe.2022558.
The objective of this paper is to investigate the dynamic behaviors of a prey-predator model incorporating the effect of toxic substances with prey refuge under imprecise parameters. We handle these biological parameters in model by using interval numbers. The existence together with stability of biological equilibria are obtained. We also analyze the existence conditions of the bionomic equilibria. The optimal harvesting strategy is explored by taking into account instantaneous annual discount rate under fuzzy conditions. Three numeric examples are performed to illustrate our analytical findings.
本文的目的是研究一个捕食-食饵模型的动态行为，该模型在参数不精确的情况下考虑了有毒物质对食饵避难所的影响。我们使用区间数来处理模型中的这些生物学参数。得到了生物平衡点的存在性和稳定性。我们还分析了生物经济平衡点的存在条件。在模糊条件下，考虑瞬时年贴现率，探索了最优捕捞策略。通过三个数值例子来说明我们的分析结果。
