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In this paper, we develop an age‐structured model with two infectious stages to study the effect of infection age on dynamic properties. By reformulating the model as a non‐densely defined… Click to show full abstract
In this paper, we develop an age‐structured model with two infectious stages to study the effect of infection age on dynamic properties. By reformulating the model as a non‐densely defined Cauchy problem and applying theorem related with Hille–Yosida operator, the threshold dynamics are investigated. Theoretical analysis shows that destabilization of the age‐dependent endemic equilibrium can occur due to the perturbation of critical infection age that separates the two infectious stages. Furthermore, numerical simulations are conducted to illustrate the dynamical behaviors of stability switching.
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
Link to full text (if available)
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