纺织高校基础科学学报
紡織高校基礎科學學報
방직고교기출과학학보
BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES
2013年
4期
436-440,449
,共6页
张虹%孙法国%张静静
張虹%孫法國%張靜靜
장홍%손법국%장정정
传染病模型%基本再生数%无病平衡点%地方病平衡点%全局稳定性
傳染病模型%基本再生數%無病平衡點%地方病平衡點%全跼穩定性
전염병모형%기본재생수%무병평형점%지방병평형점%전국은정성
epidemic model%basic reproduction number%disease-free equilibrium point%endemic equilibri-um%global stability
假设潜伏者与染病者都具有传染性且染病者恢复后对该病具有终身免疫力，建立了一类带有非线性传染率（γaE/（1＋ bEn ）＋λaI/（1＋ bIn ））的SEIR传染病模型，得到了疾病是否会成为地方病的基本再生数，讨论了无病平衡点和地方病平衡点的全局稳定性。
假設潛伏者與染病者都具有傳染性且染病者恢複後對該病具有終身免疫力，建立瞭一類帶有非線性傳染率（γaE/（1＋ bEn ）＋λaI/（1＋ bIn ））的SEIR傳染病模型，得到瞭疾病是否會成為地方病的基本再生數，討論瞭無病平衡點和地方病平衡點的全跼穩定性。
가설잠복자여염병자도구유전염성차염병자회복후대해병구유종신면역력，건립료일류대유비선성전염솔（γaE/（1＋ bEn ）＋λaI/（1＋ bIn ））적SEIR전염병모형，득도료질병시부회성위지방병적기본재생수，토론료무병평형점화지방병평형점적전국은정성。
Assuming that latent and infected individuals have infectivity and infected individuals have life-long immunity after recovery of the disease .An infectious disease models was built with a class of nonlin-ear infectious rate (γaE/(1+ bEn )+ λaI/(1+ bIn )) ,the basic reproduction number was got that if the disease will become endemic diseases ,as well as discussion on the global stability of the disease-free e-quilibrium and the endemic equilibrium .
