A class of natural pinus koraiensis population system with time delay and diffusion term  

作　　者：Guo-Feng Feng Jiaqi Chen Bin Ge 

机构地区：[1]School of Mathematical Sciences Harbin Engineering University Harbin 150001,P.R.China

出　　处：《International Journal of Biomathematics》2024年第2期233-262,共30页生物数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11201095);the Fundamental Research Funds for the Central Universities(No.3072022TS2402);the Postdoctoral research startup foundation of Heilongjiang(No.LBH-Q14044);the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province(No.LC201502).

摘　　要：In this paper,we consider the long-term sustainability of the northeast Korean pine.We propose a class of natural Korean pine population system with time delay and diffusion term.First,by analyzing the roots distribution of the characteristic equation,we study the stability of the model system with diffusion terms and prove the occurrence of Hopf bifurcation.Second,we introduce lactation time delay into a population model with a diffusion term,based on stability theory of ordinary differential equation,norm form methods and center manifold theorem,the stability of bifurcating periodic solutions and the relevant formula for the direction of Hopf bifurcation are given.Finally,some numerical simulations are given.

关 键 词：Pinus koraiensis populations DELAY diffusion term Hopf bifurcation periodic solution 

分 类 号：O17[理学—数学]