信阳师范学院学报(自然科学版)
信暘師範學院學報(自然科學版)
신양사범학원학보(자연과학판)
JOURNAL OF XINYANG TEACHERS COLLEGE(NATURAL SCIENCE EDITION)
2010年
1期
1-6
,共6页
媒介-宿主%全局稳定%传染病模型%基本再生数
媒介-宿主%全跼穩定%傳染病模型%基本再生數
매개-숙주%전국은정%전염병모형%기본재생수
vector-host%global stability%epidemic model%basic reprodution number
考虑一类带有混合型发生率的媒介-宿主传染病模型.理论结果显示,基本再生数R0完全确定了模型中平衡态的稳定性.当 R0≤1时,无病平衡态是全局渐近稳定的,地方病平衡态不存在;而当 R0>1时,疾病将持续且唯一的地方病平衡态是全局渐近稳定的.
攷慮一類帶有混閤型髮生率的媒介-宿主傳染病模型.理論結果顯示,基本再生數R0完全確定瞭模型中平衡態的穩定性.噹 R0≤1時,無病平衡態是全跼漸近穩定的,地方病平衡態不存在;而噹 R0>1時,疾病將持續且唯一的地方病平衡態是全跼漸近穩定的.
고필일류대유혼합형발생솔적매개-숙주전염병모형.이론결과현시,기본재생수R0완전학정료모형중평형태적은정성.당 R0≤1시,무병평형태시전국점근은정적,지방병평형태불존재;이당 R0>1시,질병장지속차유일적지방병평형태시전국점근은정적.
A kind of vector-host epidemic model with hybridzing incidence is investigated. It is shown that the stability of the equilibria in this model is completely controlled by the basic reproduction number R0. If R0 is less than or equals to one, the disease-free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist. If R0 is greater than one, then the disease persists and the unique endemic equilibrium is globally asymptotically stable.
