Global Stability of a Time-delayed Malaria Model with Standard Incidence Rate  

作　　者：Song-bai GUO Min HE Jing-an CUI 

机构地区：[1]School of Science,Beijing University of Civil Engineering and Architecture,Beijing 102616,China [2]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Acta Mathematicae Applicatae Sinica》2023年第2期211-221,共11页应用数学学报（英文版）

基　　金：supported in part by the National Natural Science Foundation of China (Nos.11901027,11871093 and 12171003);the China Postdoctoral Science Foundation (No.2021M703426);the Pyramid Talent Training Project of BUCEA (No.JDYC20200327);the BUCEA Post Graduate Innovation Project (No.PG2022143)。

摘　　要：A four-dimensional delay differential equations(DDEs)model of malaria with standard incidence rate is proposed.By utilizing the limiting system of the model and Lyapunov direct method,the global stability of equilibria of the model is obtained with respect to the basic reproduction number R_(0).Specifically,it shows that the disease-free equilibrium E^(0)is globally asymptotically stable(GAS)for R_(0)<1,and globally attractive(GA)for R_(0)=1,while the endemic equilibrium E^(*)is GAS and E^(0)is unstable for R_(0)>1.Especially,to obtain the global stability of the equilibrium E^(*)for R_(0)>1,the weak persistence of the model is proved by some analysis techniques.

关 键 词：malaria model delay differential equations Lyapunov functional weak persistence global stability 

分 类 号：R531.3[医药卫生—内科学] O175[医药卫生—临床医学]