The role of host refuge and strong Allee effects in a host-parasitoid system  

作　　者：Xiaochuan Hu Sophia R.-J.Jang 

机构地区：[1]Vinli Inc.,Dallas,TX75206,USA [2]Department of Mathematics and Statistics Teras Tech University,Lubbock,TX 79409,USA

出　　处：《International Journal of Biomathematics》2023年第5期111-135,共25页生物数学学报（英文版）

摘　　要：We propose and study a discrete host-parasitoid model of difference equations with a spatial host refuge where hosts in the refuge patch are free from parasitism but undergo a demographic strong Allee effect.If the growth rate of hosts in the non-refuge patch is less than one,a host Allee threshold is derived below which both populations become extinct.It is proven that both populations can persist indefinitely if the host growth rate in the non-refuge patch exceeds one and the maximum reproductive number of parasitoids is greater than one.Numerical simulations reveal that the host refuge can either stabilize or destabilize the host-parasitoid interactions,depending on other model parameters.A large number of parasitoid turnover from a parasitized host may be detrimental to the parasitoids due to Allee effects in the hosts within the refuge patch.Moreover,it is demonstrated numerically that if the host growth rate is not small,the population level of parasitoids may suddenly drop to a small value as some parameters are varied.

关 键 词：Host refuge strong Allee effect stabilizing and destabilizing Beverton-Holt growth rate Allee threshold maximum reproductive number 

分 类 号：S47[农业科学—农业昆虫与害虫防治]