Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, France.
Univ. Bordeaux, CNRS, IMB, UMR 5251, Talence F-33400, France.
Math Biosci Eng. 2022 May 25;19(8):7737-7755. doi: 10.3934/mbe.2022363.
In this work, we develop a mathematical model to describe the local movement of individuals by taking into account their return to home after a period of travel. We provide a suitable functional framework to handle this system and study the large-time behavior of the solutions. We extend our model by incorporating a colonization process and applying the return to home process to an epidemic.
在这项工作中,我们通过考虑个体在一段时间旅行后的归巢行为,建立了一个描述个体局部运动的数学模型。我们提供了一个合适的函数框架来处理这个系统,并研究了解的大时间行为。我们通过引入一个殖民化过程和将归巢过程应用于传染病来扩展我们的模型。