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&g...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.展开更多
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)+1 种基金the National Natural Science Foundation of China(11871403,11671327,11901477)the Project funded by China Postdoctoral Science Foundation(2019M653816XB).
文摘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.
