Abstract
In this work, we have developed a Coxian-distributed SEIR model when incorporating an empirical incubation period. We show that the global dynamics are completely determined by a basic reproduction number. An application of the Coxian-distributed SEIR model using data of an empirical incubation period is explored. The model may be useful for resolving the realistic intrinsic parts in classical epidemic models since Coxian distribution approximately converges to any distribution.
Highlights
Compartmental models in epidemiology are well used to simplify mathematical modeling of infectious diseases [1]
Applying Lyapunov theory, we show that the basic reproduction number determines the global stability of equilibrium of our model with constant transmission rate
Derivation of Coxian-distributed SEIR model is as follows: assume that the infectious period is Coxian-distributed with the survival function (4) in the model (12)
Summary
Compartmental models in epidemiology are well used to simplify mathematical modeling of infectious diseases [1]. To express the distribution of incubation period, we consider agestructured SEIR framework. Motivated by [4,5,6], consider a non-autonomous SEIR model of integro-differential type whose transmission rate is time-dependent: dS(t)
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