Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach  

作　　者：Ke-Lu Li Jun-Yuan Yang Xue-Zhi Li 

机构地区：[1]School of Mathematics and Information Science Henan Normal University,453007,Xinriang,Henan,P.R.China [2]Comple Systems Research Center Shanri University,030006,Taiyuan,Shanci,P.R.China [3]Shanci Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention Shanri University,030006,Taiyuan,Shanri,P.R.China [4]School of Statistics and Mathematics Henan Finance University,450046,Zhengzhou,Henan,P.R.China

出　　处：《International Journal of Biomathematics》2023年第5期23-47,共25页生物数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos.61573016 and 11771017);the Shanxi Province Science Foundation,China (Nos.201901D211413,20210302123454).

摘　　要：Eco-epidemiological model plays a crucial role in maintaining ecological balance and biological invasions.In this paper,we propose a predator-prey model where the predator population is infected by the disease.The non-negativity and boundedness of the solution are addressed.The existence and stability of equilibrium are discussed by an invasive approach.Numerical simulations are used to demonstrate the competitive and exclusion,and oscillation behaviors of the model.Interestingly,the predation rate of the infected predator is shown to have far-reaching implications for the structure and stability of ecological communities.

关 键 词：Eco-epidemiological model Hopf bifurcation competitive and exclusion global stability 

分 类 号：O17[理学—数学]