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The Crucial Role of Acquired Tick Resistance: Global Asymptotic Stability in a Tick-Host-Pathogen System
时间:2026年06月10日 21:40 点击数:

报告人:张雪

报告地点:人民大街校区数学与统计学院104室

报告时间:2026年06月17日(星期三)10:30-11:30

邀请人:王静

报告摘要:

Acquired tick resistance, an important host defense behavior against tick infestation, has not yet been modeled or qualitatively analyzed. In this study, we propose a tick-borne disease transmission model that incorporates ATR, in which hosts are categorized into subgroups based on their infection status and the number of tick bites. For the tick–host population model, we derive four distribution patterns of host subpopulations and analyze the global asymptotic stability of the positive equilibrium. For the disease transmission model, we calculate the basic reproduction number and prove the global asymptotic stability of both the disease-free equilibrium and the endemic equilibrium. Numerical simulations demonstrate that the emergence of ATR effectively reduces the number of infected hosts, whereas an increase in the co-feeding transmission probability leads to a rise in the number of infected ticks.

主讲人简介:

张雪,东北大学,教授,博士生导师。长期从事生物数学研究工作。在Siam Journal in Applied Mathematics、Journal of Mathematical Biology、Bulletin of Mathematical Biology、Mathematical Biosciences、Applied Mathematical Modelling、Journal of Differential and Dynamical Systems等国内外重要学术期刊上发表多篇论文,在Springer合作出版专著2部。作为项目负责人先后主持国家自然科学基金项目以及辽宁省科学基金项目。

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