具有竞争机制的觅食者-掠夺者模型的高维空间有界性分析  

Boundedness of High Dimensional Space in a Forager-exploiter Model with Competitive Kinetics

作　　者：刘洪燕 刘丹丹 江利情 蒋敏 LIU Hongyan;LIU Dandan;JIANG Liqing;JIANG Min(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵阳550025

出　　处：《湖北民族大学学报（自然科学版）》2023年第4期530-537,共8页Journal of Hubei Minzu University:Natural Science Edition

基　　金：贵州省教育厅青年科技人才成长项目(黔教合KY字[2017]133)。

摘　　要：为了更好地描述竞争机制下觅食者-掠夺者之间的关系,研究了在光滑有界域中具有竞争机制的觅食者-掠夺者模型的动力学性质。研究发现,在空间维数n≥3的条件下,当初值和参数满足一定的正则性和限制条件p>(n/2)+1时,通过应用一些经典的不等式以及Neumann热半群理论等,可以证明模型解的正则性,由此得到了模型解在高维空间中的全局存在性和有界性。In order to better describe the relationship between foragers and predators under competitive mechanisms,the dynamic properties of a forager-predator model with competitive mechanisms in a smooth bounded domain were studied.Under the condition of spatial dimension n≥3,when the initial values and parameters meet certain regularity and restriction conditions,the regularity of the model solution is proved by applying some classical inequalities and Neumann hot semigroup theory under the conditions of p>(n/2)+1,and the global existence and boundedness of the model solution in high-dimensional space are obtained.

关 键 词：竞争动力学 全局有界性 觅食者-掠夺者模型 高维空间 Neumann热半群理论 逻辑源 全局存在性 

分 类 号：O175.26[理学—数学]