具有灵敏度函数的双种群趋化模型解的全局稳定性
首发时间:2020-02-26
摘要:双种群趋化模型是经典Keller-Segel趋化模型的一种扩展模型。对于这个模型,Negreanu和Tello研究了该模型的初边值问题解的全局存在以及该模型解的大时间行为。相对于Negreanu 和Tello 研究大时间行为的方法,本文采用不同的方法,并在趋化灵敏度函数和初始值满足适当的正则性假设下,证明了解的全局有界以及解的大时间行为。
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Global stability of a two-species chemotaxis model with signal-dependent sensitivity
Abstract:The two-species chemotaxis model is a extended model with classic chemotaxis model. Compared with the method in established global existence and large time behavior of solutions about this system by Negreanu and Tello,this paperwe make use of a different method to prove the global boundedness and large time behavior of classical solutionsunder appropriate regularity assumptions on the sensitivity function and initial data.
Keywords: Cheomtaxis Signal-dependent sensitivity Global boundedness Large time behavior
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具有灵敏度函数的双种群趋化模型解的全局稳定性
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