洛阳师范学院学报
洛暘師範學院學報
락양사범학원학보
JOURNAL OF LUOYANG TEACHERS' COLLEGE
2012年
2期
42-45
,共4页
吸血鬼模型%平衡点%基本再生数%Lyapunov函数%全局渐近稳定
吸血鬼模型%平衡點%基本再生數%Lyapunov函數%全跼漸近穩定
흡혈귀모형%평형점%기본재생수%Lyapunov함수%전국점근은정
the virus models with latency%equilibrium%the basic reproduction number%Lyapunov functions%globally asymptotically stable
本文建立了一类吸血鬼数学模型,定义了模型的基本再生数,通过构造适当的Lyapunov函数来研究模型解的渐近性态.证明了当基本再生数小于1时,无病平衡点是全局渐近稳定的;当基本再生数大于1时,唯一的地方病平衡点是全局渐近稳定的.
本文建立瞭一類吸血鬼數學模型,定義瞭模型的基本再生數,通過構造適噹的Lyapunov函數來研究模型解的漸近性態.證明瞭噹基本再生數小于1時,無病平衡點是全跼漸近穩定的;噹基本再生數大于1時,唯一的地方病平衡點是全跼漸近穩定的.
본문건립료일류흡혈귀수학모형,정의료모형적기본재생수,통과구조괄당적Lyapunov함수래연구모형해적점근성태.증명료당기본재생수소우1시,무병평형점시전국점근은정적;당기본재생수대우1시,유일적지방병평형점시전국점근은정적.
This paper discusses a class of virus model with latency.The basic reproduction number of the virus model is defined by applying the next generation matrix method.The asymptotic behavior of the solutions of the virus model is investigated by constructing proper Lyapunov functions.It is proved that if the basic reproduction number is lower than one,the unique disease-free equilibrium is globally asymptotically stable;if the basic reproduction number is above one,the disease-free equilibrium is unstable,the unique endemic equilibrium is globally asymptotically stable.
