应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2007年
2期
233-238
,共6页
传染病模型%无病平衡点%传染病平衡点%指数稳定性%收敛率
傳染病模型%無病平衡點%傳染病平衡點%指數穩定性%收斂率
전염병모형%무병평형점%전염병평형점%지수은정성%수렴솔
Epidemic model%Disease free equilibrium%Endemic equilibrium%Exponential stability%Convergence rate
本文研究了一类具可变种群总数的SIS传染病模型,利用基于比较原理的新的分析技巧,获得了一些无病平衡点和传染病平衡点全局和局部指数稳定的充分条件,同时得到了平衡点指数收敛率与指数收敛区域的估计.
本文研究瞭一類具可變種群總數的SIS傳染病模型,利用基于比較原理的新的分析技巧,穫得瞭一些無病平衡點和傳染病平衡點全跼和跼部指數穩定的充分條件,同時得到瞭平衡點指數收斂率與指數收斂區域的估計.
본문연구료일류구가변충군총수적SIS전염병모형,이용기우비교원리적신적분석기교,획득료일사무병평형점화전염병평형점전국화국부지수은정적충분조건,동시득도료평형점지수수렴솔여지수수렴구역적고계.
An SIS epidemic model with varying total population size is studied. Using new analytic technique based on the concept of comparison,some suffcient conditions are obtained to guarantee the local or global exponential stability of the disease free equilibrium and the endemic equilibrium.Furthermore ,the estimate of the exponential convergence rate of the equilibrium and the estimate of the region of exponential convergence of the equilibrium are derived.
