A PDE model for the spatial dynamics of a voles population structured in age

Coclite, Giuseppe Maria; Donadello, Carlotta; Nguyen, Thi Nhu Thao

doi:10.1016/j.na.2020.111805

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…It is also true that people of different age groups have different autoimmunity and health status, resulting in different mortality rates after the disease in each age group (Colombo and Garavello 2014 ; Coclite et al. 2020 , 2021 ). In addition, media coverage of the new crown pneumonia outbreak may impact the public’s attitudes toward it, raising their awareness of protection and taking the right preventive measures to reduce the infection rate.…”

Section: Introductionmentioning

confidence: 99%

“…In practical, due to the scope of activity and the awareness of self-protection among different age groups are different, which leads to a significant difference in the proportion of age composition among patients with COVID-19. It is also true that people of different age groups have different autoimmunity and health status, resulting in different mortality rates after the disease in each age group (Colombo and Garavello 2014;Coclite et al 2020Coclite et al , 2021. In addition, media coverage of the new crown pneumonia outbreak may impact the public's attitudes toward it, raising their awareness of protection and taking the right preventive measures to reduce the infection rate.…”

Section: Introductionmentioning

confidence: 99%

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Stability analysis of the COVID-19 model with age structure under media effect

Yuan-shun

Tang

2023

Comp. Appl. Math.

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The spread and control of infectious diseases are inevitably influenced by the age structure of the population and media effect. In this paper, we propose a susceptible-exposure-infection-recovery type age-structured COVID-19 model with media effect. First, the existence and uniqueness of the solution are obtained using semigroup theory and the positive operator method. The basic regeneration number is computed next and the globally asymptotical stability of the disease-free steady state, as well as the locally asymptotical stability of endemic steady state is studied without any extra conditions. The influence of media effect and age structure of the population on disease transmission are also verified by numerical simulations. Our result show that additional intensity of media broadcasts not only reduces the peak of disease outbreak but also shortens the duration of the epidemic. Further more, the proportion of infected adolescents is lower, and adults should pay more attention to self-protection.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability analysis of the COVID-19 model with age structure under media effect

Yuan-shun

Tang

2023

Comp. Appl. Math.

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“…Most of the literature only focus on a two variables dynamics (time and age or time and space) but the observations suggest that the evolution depend on the three of them. The papers [4] and [2], and the monograph [21] use different PDE techniques to deal with three variables models. In the present paper we follow a partially different idea, inspired from [13].…”

Section: Introductionmentioning

confidence: 99%