Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model
نویسندگان
چکیده
منابع مشابه
Intermittent social distancing strategy for epidemic control
We study the critical effect of an intermittent social distancing strategy on the propagation of epidemics in adaptive complex networks. We characterize the effect of our strategy in the framework of the susceptible-infected-recovered model. In our model, based on local information, a susceptible individual interrupts the contact with an infected individual with a probability σ and restores it ...
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ABSTRACT Mathematical epidemiological models for the dynamics of infections that induce lifelong immunity have been extensively developed. In this work, we consider a nonlinear SIR model given by a nonlinear system describing the dynamics of the interaction between susceptible and infective individuals in population. We analyze the dynamical behavior of the nonlinear system and then use two typ...
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Commentary.
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We study the SIR epidemic model with varying total population size and constant immigration rate. We derive the sufficient conditions on parameters of the system to guarantee that the equilibrium points of the system are locally asymptotically stable or globally asymptotically stable. If the disease-free equilibrium point is stable, then the disease will not affect the population in the system....
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2021
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-021-01830-1