欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
基于离散映射和分岔理论，研究了具有脉冲生育、脉冲接种和饱和接触率的SIRS传染病模型的动力学性质，通过分析模型平凡解和无病周期解的存在性和稳定性以及超临界分岔发生的条件，得到决定疾病流行与否的阈值，给出验证理论分析的数值结果。
英文摘要：
The dynamics of an SIRS epidemic model with birth pulse, pulse vaccination and saturation incidence is studied. The existence and stability of the trivial solution and infection-free periodic solution are analyzed. By using discrete mapping and bifurcation theory, the condition of occurrence for supercritical bifurcation is derived. The threshold for a disease to be extinct or endemic is established. Moreover, numerical results for phase portraits, periodic solutions and bifurcation dia- grams are illustrated with an example, which are in agreement with the theoretical analysis.
同期刊论文项目
同项目期刊论文
Effect of the coupling matrix with a weight paerameter on synchronization pattern in a globally coup
Periodic solutioins of an SIS epidemic model with fixed-time birth pulse and state feedback pulse tr
Periodic solutions of an SIS epidemic model with fixed-time birth pulses and state feedback pulse tr
The dynamics of an SISepidemic model with fixed-time birth pulses and state feedback pulse treatment
Effect of the coupling matrix with a weight parameter on synchronization pattern in a globally coupl
Global Exponential Stability of Periodic Oscillation for Nonautonomous BAM Neural Networks with Dist
Parameter identification of dynamical networks with community structure and multiple coupling delays
期刊信息
位置：