Invasion waves for a diffusive predator prey model with two preys and one predator  

作　　者：Xinzhi Ren Tianran Zhang Xianning Liu 

机构地区：[1]School of Mathematics and Statistics Key Laboratory of Eco-environments in Three Gorges Reservoir Region(Ministry of Education)Southwest University,Chongqing 400715,P.R.China

出　　处：《International Journal of Biomathematics》2020年第8期187-203,共17页生物数学学报（英文版）

基　　金：This work was supported by the Fundaniental Research Funds for the Central Universities(XDJK2019C106);the Natural Science Foundation of Chongqing,China(cstc2019jcyj-bshX0122,cstc2018jcyjAX0439);the National Natural Science Foundation of China(11871403,11671327,11901477);the Project funded by China Postdoctoral Science Foundation(2019M653816XB).

摘　　要：In this paper,we study the existence of invasion waves of a diffusive predator prey model with two preys and one predator.The existence of traveling semi-fronts connecting invasion-free equilibrium with wave speed c>c^(*)is obtained by Schauder's fixed-point theorem,where c^(*)is the mininial wave speed.The boundedness of such waves is shown by rescaling method and such waves are proved to connect coexistence equilibrium by LaSalle's invariance principle.The existence of traveling front with wave speed c=c^(*)is got by rescaling method and limit arguments.Tht1 non-existence of traveling fronts with speed 0<c<c^(*)is shown by Laplace transform.

关 键 词：Invasion wave Schauder's fixed-point theorem rescaling method Harnack's inequality LaSalle's invariance principle 

分 类 号：O17[理学—数学]