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This study examines the behavior of solutions in a multi-patch epidemic model that includes a saturation incidence mechanism. When the fatality rate due to the disease is not null, our findings show that the solutions of the model tend to stabilize a
Externí odkaz:
http://arxiv.org/abs/2409.11443
In this paper, we propose a delayed cytokine-enhanced viral infection model incorporating saturation incidence and immune response. We compute the basic reproduction numbers and introduce a convex cone to discuss the impact of non-negative initial da
Externí odkaz:
http://arxiv.org/abs/2409.10223
Schistosomiasis remains a persistent challenge in tropical freshwater ecosystems, necessitating the development of refined control strategies. Bovines, especially water buffaloes, are commonly used in traditional farming practices across rural areas
Externí odkaz:
http://arxiv.org/abs/2408.05559
We present a design and financial analysis of a health insurance based on an SIH-type epidemic model. Specifically, we first construct the model in a continuous form, study its dynamical properties, and formulate the financial quantities involved in
Externí odkaz:
http://arxiv.org/abs/2408.05397
In this paper, we consider an optimal distributed control problem for a reaction-diffusion-based SIR epidemic model with human behavioral effects. We develop a model wherein non-pharmaceutical intervention methods are implemented, but a portion of th
Externí odkaz:
http://arxiv.org/abs/2407.17298
We analyze the Bass and SI models for the spreading of innovations and epidemics, respectively, on homogeneous complete networks, circular networks, and heterogeneous complete networks with two homogeneous groups. We allow the network parameters to b
Externí odkaz:
http://arxiv.org/abs/2407.10816
We have derived the governing equations for an SIR model with delay terms in both the infectivity and recovery of the disease. The equations are derived by modelling the dynamics as a continuous time random walk, where individuals move between the cl
Externí odkaz:
http://arxiv.org/abs/2406.18107
Compartment models with delay terms are widely used across a range of disciplines. The motivation to include delay terms varies across different contexts. In epidemiological and pharmacokinetic models, the delays are often used to represent an incuba
Externí odkaz:
http://arxiv.org/abs/2406.17242
Autor:
Wang, Qi
In this paper, we consider a reaction-diffusion-advection SIS epidemic model with saturated incidence rate and linear source. We study the uniform bounds of parabolic system and some asymptotic behavior of the basic reproduction number $\mathcal{R}_0
Externí odkaz:
http://arxiv.org/abs/2406.17201
Many social and biological networks periodically change over time with daily, weekly, and other cycles. Thus motivated, we formulate and analyze susceptible-infectious-susceptible (SIS) epidemic models over temporal networks with periodic schedules.
Externí odkaz:
http://arxiv.org/abs/2406.16787