Leslie’s prey–predator model in discrete time  

作　　者：U.A.Rozikov S.K.Shoyimardonov 

机构地区：[1]V.I.Romanovskiy Institute of Mathematics 81,Mitzo Ulug'bek Street 100125 Tashkent,Uzbekistan [2]Department of Higher Mathematics Tashkent University of Information Technologies Named After Muhammad Al-Khwarizmi Tashkent,Uzbekistan

出　　处：《International Journal of Biomathematics》2020年第6期231-255,共25页生物数学学报（英文版）

基　　金：Shoyimardonov thanks the El-Yurt Umidi Foundation under the Cabinet of Ministers of the Republic of Uzbekistan for financial support during his visit to the University of Montpellier(France)and Prof.R.Varro for the invitation。

摘　　要：We consider the Leslie’s prey–predator model with discrete time.This model is given by a nonlinear evolution operator depending on five parameters.We show that this operator has two fixed points and define type of each fixed point depending on the parameters.Finding two invariant sets of the evolution operator,we study the dynamical systems generated by the operator on each invariant set.Depending on the parameters,we classify the dynamics between a predator and a prey of the Leslie’s model.

关 键 词：POPULATION Leslie model fixed points PREY-PREDATOR discrete time 

分 类 号：O17[理学—数学]