EXTINCTION

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PROBING A STOCHASTIC EPIDEMIC HEPATITIS C VIRUS MODEL WITH A CHRONICALLY INFECTED TREATED POPULATION被引量：2
《Acta Mathematica Scientia》2022年第5期2087-2112,共26页S.P.RAJASEKAR M.PITCHAIMANI Quanxin ZHU 
jointly supported by National Natural Science Foundation of China(62173139);the Science and Technology Innovation Program of Hunan Province(2021RC4030);Hunan Provincial Science and Technology Project Foundation(2019RS1033);the Science and Engineering Research Board(SERB)of India(EEQ/2021/001003).
The hepatitis C virus is hitherto a tremendous threat to human beings,but many researchers have analyzed mathematical models for hepatitis C virus transmission dynamics only in the deterministic case.Stochasticity pla...
关键词：infeted chroniclly infeted treated hepatitis Cextinction stationary distributior 
CONTROL STRATEGIES FOR A TUMOR-IMMUNE SYSTEM WITH IMPULSIVE DRUG DELIVERY UNDER A RANDOM ENVIRONMENT被引量：1
《Acta Mathematica Scientia》2022年第3期1141-1159,共19页Mingzhan HUANG Shouzong LIU Xinyu SONG Xiufen ZOU 
supported by the National Natural Science Foundation of China(12071407,11901502);Training plan for young backbone teachers in Henan Province(2019GGJS157);Foundation of Henan Educational Committee under Contract(21A110022);Program for Science&Technology Innovation Talents in Universities of Henan Province(21HASTIT026);Scientific and Technological Key Projects of Henan Province(212102110025);Nanhu Scholars Program for Young Scholars of XYNU。
This paper mainly studies the stochastic character of tumor growth in the presence of immune response and periodically pulsed chemotherapy.First,a stochastic impulsive model describing the interaction and competition ...
关键词：Tumor-immune system CHEMOTHERAPY stochastic impulsive model EXTINCTION PERSISTENCE 
DYNAMICAL BEHAVIOR OF A STOCHASTIC HBV INFECTION MODEL WITH LOGISTIC HEPATOCYTE GROWTH被引量：6
《Acta Mathematica Scientia》2017年第4期927-940,共14页刘群 蒋达清 史宁中 Tasawar HAYAT Ahmed ALSAEDI 
supported by NSFC of China(11371085);the Fundamental Research Funds for the Central Universities(15CX08011A),2016GXNSFBA380006 and KY2016YB370
This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic statio...
关键词：stochastic HBV infection model EXTINCTION stationary distribution Lyapunov function 
CRITICAL EXTINCTION EXPONENTS FOR POLYTROPIC FILTRATION EQUATIONS WITH NONLOCAL SOURCE AND ABSORPTION
《Acta Mathematica Scientia》2015年第2期366-374,共9页李海霞 韩玉柱 高文杰 
supported by NSFC(11271154,11401252);Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education,the 985 program of Jilin University;Fundamental Research Funds of Jilin University(450060501179);supported by Graduate Innovation Fund of Jilin University(2014084)
In this article, by applying the super-solution and sub-solution methods, instead of energy estimate methods, the authors investigate the critical extinction exponents for a polytropic filtration equation with a nonlo...
关键词：Polytropic filtration equation critical exponent EXTINCTION super-solution and sub-solution 
PERSISTENCE AND EXTINCTION OF A STOCHASTIC LOGISTIC MODEL WITH DELAYS AND IMPULSIVE PERTURBATION被引量：2
《Acta Mathematica Scientia》2014年第5期1551-1570,共20页卢春 丁效华 
supported by the National Natural Science Foundation of China(11271101);the NNSF of Shandong Province(ZR2010AQ021)
A stochastic logistic model with delays and impulsive perturbation is proposed and investigated. Sufficient conditions for extinction are established as well as nonpersistence in the mean, weak persistence and stochas...
关键词：logistic model white noise DELAY PERSISTENCE impulsive perturbation 
EXTINCTION OF POPULATION-SIZE-DEPENDENT BRANCHING CHAINS IN RANDOM ENVIRONMENTS
《Acta Mathematica Scientia》2010年第4期1065-1072,共8页王伟刚 李燕 胡迪鹤 
supported by the National Natural Science Foundation of China (10771185,10926036);Zhejiang Provinicial Natural Science Foundation of China (Y6090172)
We consider a population-size-dependent branching chain in a general random environment.We give suffcident conditions for certain extinction and for non-certain extinction.The chain exhibits different asymptotic accor...
关键词：Stochastic population models branching chains in random environments extinction probability 
ON THE EXTINCTION OF POPULATION-SIZE-DEPENDENT BISEXUAL GALTON-WATSON PROCESSES被引量：1
《Acta Mathematica Scientia》2008年第1期210-216,共7页邢永胜 王学强 
supported by NNSF of China (10771119)
In this article, the population-size-dependent bisexual Galton-Watson processes are considered. Under some suitable conditions on the mating functions and the offspring distribution, existence of the limit of mean gro...
关键词：Bisexual Galton-Watson branching processes population-size-dependent branching processes extinction probability 
ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION
《Acta Mathematica Scientia》1999年第3期272-278,共7页李炳章 余旌胡 
This paper investigates the property of super-Brownian motion conditioned on non-extinction. The authors obtain a representation of Laplace functional for the weighted occupation time of this class of processes. By th...
关键词：super-Brownian motion non-extinction weighted occupation the support of measure 
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