具有抑制因子的食物链恒化器模型正解的全局结构
Global Structure of the Positive Solution of the Food Chain Chemostat Model with Inhibitors
DOI: 10.12677/pm.2026.165127, PDF,    国家自然科学基金支持
作者: 成新宇：长安大学理学院，陕西 西安
关键词: 恒化器；抑制因子；捕食食饵模型；分歧理论；Chemostat； Inhibitor； Predator-Prey Model； Bifurcation Theory
摘要: 本文研究了一类非均匀恒化器中具有抑制因子的食物链模型，其中捕食者以生长在恒化器中的单个食饵为食，且总体捕食者对可育捕食者存在抑制作用。首先，运用抛物方程的比较原理等，得出系统平凡解和半平凡解的全局稳定性；然后，运用分歧理论等方法，建立具有抑制因子的食物链恒化器模型正解的全局结构。
Abstract: In this paper, a food chain model with inhibitors in an unstirred chemostat is studied, in which the predator feeds on a single prey grown in the chemostat, and the overall predator has an inhibitory effect on reproducing predators. Firstly, the comparison principle of parabolic equations is used to obtain the global stability of the trivial and semi-trivial solutions of the system. Then, using bifurcation theory and other methods, the global structure of the positive solution of the food chain chemostat model with inhibitors is established.
文章引用：成新宇. 具有抑制因子的食物链恒化器模型正解的全局结构[J]. 理论数学, 2026, 16(5): 16-29. https://doi.org/10.12677/pm.2026.165127

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