Impact of group mixing on disease dynamics
作者： P. van den Driessche , Lin Wang , Xingfu Zou
DOI: 10.1016/J.MBS.2010.08.008
关键词: Artificial induction of immunity 、 Stability theory 、 Exponential stability 、 Mixing (physics) 、 Population 、 Biology 、 Constant (mathematics) 、 Basic reproduction number 、 Distribution function 、 Statistical physics 、 Control theory
摘要: Abstract A general mathematical model is proposed to study the impact of group mixing in a heterogeneous host population on spread disease that confers temporary immunity upon recovery. The contains distribution functions account for probabilities individuals remain recovered class after For this model, basic reproduction number R 0 identified. It shown if 1 , then dies out sense free equilibrium globally asymptotically stable; whereas > becomes unstable. In latter case, depending and strengths, either persists at constant endemic level or exhibits sustained oscillatory behavior.
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