Transmission dynamics of COVID-19 pandemic with combined effects of relapse, reinfection and environmental contribution: A modeling analysis

Musa, Salihu S.; Yusuf, Abdullahi; Zhao, Shi; Abdullahi, Zainab; Abu‐Odah, Hammoda; Saad, Farouk Tijjani; Adamu, Lukman; He, Daihai

doi:10.1016/j.rinp.2022.105653

Cited by 7 publications

(4 citation statements)

References 76 publications

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“…Mathematical modeling and analysis of infectious diseases can provide further insight into disease propagation mechanisms. In the past decades, there have been many epidemic models established which characterize pathogen propagation dynamics in populations and the environment [2][3][4][5][6][7][8][9][10][11]. In particular, Sun et al [12] proposed a Cholera model with environment-to-human and human-to-human transmission, demonstrating that disease-free and endemic steady states are globally asymptotically stable, as well as emphasizing implications of multiple routes of transmission in the spread and control of disease.…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis and optimal control of an age‐structured epidemic model with asymptomatic infection and multiple transmission pathways

Kang,

Nie

2024

Math Methods in App Sciences

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The diversity of transmission modes and the heterogeneity of populations in the transmission of infectious diseases are issues that have to be faced in the current disease protection. In this paper, an infectious disease model incorporating age structure and horizontal and environmental spread, along with asymptomatic infection, is proposed to describe diversification of disease transmission routes and population heterogeneity. The expression of the basic reproduction number is derived by a linear approximation method, and it is concluded that if , the disease‐free steady state is globally asymptotically stable; if , the model has a unique endemic steady state which is locally asymptotically stable under certain conditions. Further, the uniform persistence of disease is proved using the persistence theory of the infinite‐dimensional dynamical system when . In additional, the issue of optimal control problem according to this model is investigated, and the representation of optimal control with respect to state variables and adjoint variables is obtained which also imply the existence and uniqueness of optimal control. Finally, numerical simulations are carried out to interpret the theoretical results and to discuss the impact of age and control measures in disease transmission.

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Section: Introductionmentioning

confidence: 99%

Dynamical analysis and optimal control of an age‐structured epidemic model with asymptomatic infection and multiple transmission pathways

Kang,

Nie

2024

Math Methods in App Sciences

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“…In recent years, many scholars have conducted extensive research on infectious disease models with media effects [ 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 ]. In addition, many scholars have considered the possible factor of re-positives and designed a new model based on the traditional SEIR-type to analyze the spread of the epidemic [ 41 , 42 ], which can also be seen in previous studies [ 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 ]. According to previous studies, re-positives and environmental vectors significantly impact COVID-19 dynamics and evolution, and need to be investigated widely in order to uncover the strength of disease severity and infectiousness.…”

Section: Introductionmentioning

confidence: 99%

“…The authors of [ 41 ] consider the situation of re-infection, where recovered people may return to being considered infected people (including symptomatic and asymptomatic infected people), and these infected people can release virus particles into the environment. In order to simplify the model, we let exposed people to include lurkers and asymptomatic infected people.…”

Section: Introductionmentioning

confidence: 99%

“…In addition to the factors mentioned in [ 41 ], the following three types of factors are also considered: the first is that exposed individuals are still contagious, and exposed individuals can transmit viruses deposited on the surface of materials to healthy individuals through inanimate substances (public lift buttons, mail packages, etc. ); the second is that the birth population is not zero, the mortality rate of different populations is also different, and recovered individuals may return to becoming susceptible individuals due to immune loss; the third is that we consider the recovered of re-positives to return to becoming exposed people.…”

Section: Introductionmentioning

confidence: 99%

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A COVID-19 Infection Model Considering the Factors of Environmental Vectors and Re-Positives and Its Application to Data Fitting in Japan and Italy

Dong

et al. 2023

Viruses

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COVID-19, which broke out globally in 2019, is an infectious disease caused by a novel strain of coronavirus, and its spread is highly contagious and concealed. Environmental vectors play an important role in viral infection and transmission, which brings new difficulties and challenges to disease prevention and control. In this paper, a type of differential equation model is constructed according to the spreading functions and characteristics of exposed individuals and environmental vectors during the virus infection process. In the proposed model, five compartments were considered, namely, susceptible individuals, exposed individuals, infected individuals, recovered individuals, and environmental vectors (contaminated with free virus particles). In particular, the re-positive factor was taken into account (i.e., recovered individuals who have lost sufficient immune protection may still return to the exposed class). With the basic reproduction number R0 of the model, the global stability of the disease-free equilibrium and uniform persistence of the model were completely analyzed. Furthermore, sufficient conditions for the global stability of the endemic equilibrium of the model were also given. Finally, the effective predictability of the model was tested by fitting COVID-19 data from Japan and Italy.

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What Influence Could the Acceptance of Visitors Cause on the Epidemic Dynamics of a Reinfectious Disease?: A Mathematical Model

Xie,

Ahmad,

Ikpe

et al. 2024

Acta Biotheor

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The globalization in business and tourism becomes crucial more and more for the economical sustainability of local communities. In the presence of an epidemic outbreak, there must be such a decision on the policy by the host community as whether to accept visitors or not, the number of acceptable visitors, or the condition for acceptable visitors. Making use of an SIRI type of mathematical model, we consider the influence of visitors on the spread of a reinfectious disease in a community, especially assuming that a certain proportion of accepted visitors are immune. The reinfectivity of disease here means that the immunity gained by either vaccination or recovery is imperfect. With the mathematical results obtained by our analysis on the model for such an epidemic dynamics of resident and visitor populations, we find that the acceptance of visitors could have a significant influence on the disease’s endemicity in the community, either suppressive or supportive.

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Transmission dynamics of COVID-19 pandemic with combined effects of relapse, reinfection and environmental contribution: A modeling analysis

Cited by 7 publications

References 76 publications

Dynamical analysis and optimal control of an age‐structured epidemic model with asymptomatic infection and multiple transmission pathways

Dynamical analysis and optimal control of an age‐structured epidemic model with asymptomatic infection and multiple transmission pathways

A COVID-19 Infection Model Considering the Factors of Environmental Vectors and Re-Positives and Its Application to Data Fitting in Japan and Italy

What Influence Could the Acceptance of Visitors Cause on the Epidemic Dynamics of a Reinfectious Disease?: A Mathematical Model

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