GLOBAL_STABILITY

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An SIS epidemic model with diffusion
《Applied Mathematics(A Journal of Chinese Universities)》2017年第2期127-146,共20页XU Zhi-ting CHEN Dan-xia 
Partially supported by the NSF of Guangdong Province(2016A030313426);the HLUCF of South China Normal University(2016YN30)
The aim of this paper is to study the diffusion. We first study the well-posedness of the dynamics of an SIS epidemic model with model. And then, by using linearization method and constructing suitable Lyapunov functi...
关键词：SIS epidemic model traveling wave solution local stability global stability diffusive. 
POSITIVE EQUILIBRIUM AND ITS STABILITY OF THE BEDDINGTON-DEANGELIS'TYPE PREDATOR-PREY DYNAMICAL SYSTEM被引量：7
《Applied Mathematics(A Journal of Chinese Universities)》2006年第4期429-436,共8页Xiao Haibin Department of Mathematics, Ningbo University, Zhejiang 315211,China Department of Mathematics, Nanjing University, Jiangsu 210093,China. 
Supported by the NNSF of China( 10171044) the Foundation for University Key Teachers of the Ministry of Education of China .
A class of Beddington-DeAngelis＇ type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of...
关键词：density restriction Beddington-DeAngelis＇ type functional response global stability limit cycle. 
STABILITY OF AN SEIS EPIDEMIC MODEL WITH CONSTANT RECRUITMENT AND A VARYING TOTAL POPULATION SIZE被引量：3
《Applied Mathematics(A Journal of Chinese Universities)》2006年第1期1-8,共8页Chen Junjie Liu Xiangguan 
SupportedbytheScienceFoundationoftheEducationCommitteeofZhejiangProvince(G20050433).
This paper considers an SEIS epidemic model with infectious force in the latent period and a general population-size dependent contact rate. A threshold parameter R is identified. If R≤1, the disease-free equilibrium...
关键词：epidemic model threshold  endemic equilibrium  latent period global stability. 
TWO DIFFERENTIAL INFECTIVITY EPIDEMIC MODELS WITH NONLINEAR INCIDENCE RATE被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2005年第3期305-315,共11页Chen Junjie 
SupportedbytheScienceFoundationoftheEducationDepartmentofZhejiangProvince
This paper considers two differential infectivity（DI） epidemic models with a nonlinear incidence rate and constant or varying population size. The models exhibits two equilibria, namely., a disease-free equilibrium ...
关键词：differential infectivity nonlinear incidence rate endemic equilibrium global stability Liapunov function. 
PERSISTENCE AND PERIODIC ORBITS FOR TWO-SPECIES NON-AUTONOMOUS DIFFUSION LOTKA-VOLTERRA MODELS被引量：5
《Applied Mathematics(A Journal of Chinese Universities)》2004年第4期359-366,共8页ChenFengde 
the Start- up foundation of Fuzhou University ( 0 0 30 82 4 2 2 8),the Foundation ofDeveloping Science and Technical Developmentof Fuzhou University ( 2 0 0 3- QX- 2 1 ) and the Foundation ofScience and Technology of Fujian Province of PR China for Young
A non-autonomous competing system is investigated in this paper,where the species x can diffuse between two patches of a heterogeneous environment with barriers between patches,but for species y,the diffusion does not...
关键词：PERSISTENCE DIFFUSION periodic orbits global stability. 
AN SIRS EPIDEMIC MODEL被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2004年第1期101-108,共8页ChenJunjie 
Supported by the Science and Technology Foundation of Zhejiang University(1 0 70 0 0 - 54430 1 )
This paper considers an SIRS epidemic model that incorporates constant immigrati on rate, a general population size dependent contact rate and proportional tran sfer rate from the infective class to susceptible class...
关键词：epidemic model threshold endemic equilibrium global stability.  ON 3  CHOOSABILITY OF PLANE GRAPHS   WITHOUT 6   7   AND 9  CYCLES$$$$  Zhang Haihui    1 2  Xu Baogang  11School of Math. and Comput. Sci. Nanjing Normal Univ. Nanji ng 21009 
PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND DELAY被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2003年第2期143-150,共8页Ye Kaili Song XinyuDept. of Math.,Xinyang Teachers College,Henan 464000, China. 
Supported by the National Natural Science Foundation of China(1 0 1 71 1 0 6 ) and Natural Science Foun-dation of Henan Province(0 2 1 1 0 1 0 4 0 0)
A system of retarded functional differential equations is proposed as a predator-prey model with stage structure in the prey.The invariance of non-negativity,nature of boundary equilibria and global stability are anal...
关键词：stage structure predator-prey system global stability Hopf bifurcation. 
GLOBAL STABILITY FOR A CLASS OF DIFFERENCE EQUATION被引量：6
《Applied Mathematics(A Journal of Chinese Universities)》2000年第1期33-36,共4页Ou Chunhua 1,2 \ Tang Hengsheng\+2\ Luo Wei 21 Institute ofMathem actica,Fudan Univ.,Shanghai200433.2Basic Sciences Departm ent,Centre-South Institute ofTechnology,Hengyang 421001. 
In this paper the global stability of difference equation x n+1 =a+bx nA+x n-1 is studied and a sufficient condition is obtained,which improves some previous results.
关键词：Difference equation globalstability. 
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