The Linear Stability and Basic Reproduction Numbers for Autonomous FDEs [PDF]
arXiv, 2023 In this paper, we first prove the stability equivalence between a linear autonomous and cooperative functional differential equation (FDE) and its associated autonomous and cooperative system without time delay. Then we present the theory of basic reproduction number $\mathcal{R}_0$ for general autonomous FDEs.
arxiv
Evaluating different epidemiological models with the identical basic reproduction number ℛ0
Journal of Biological Dynamics, 2020 Epidemiological models with the identical basic reproduction number $ \mathcal {R}_0 $ may behave differently on both short time scale and long time scale.
Fan Bai
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Spatial dynamics and the basic reproduction number of the 1991–1997 Cholera epidemic in Peru
PLoS Neglected Tropical Diseases, 2020 After being cholera free for over 100 years, Peru experienced an unprecedented epidemic of Vibrio cholerae O1 that began in 1991 and generated multiple waves of disease over several years.
A. Smirnova +6 more
semanticscholar +1 more source
Global stability of a distributed delayed viral model with general incidence rate
Open Mathematics, 2018 In this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria.
Ávila-Vales Eric +2 more
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Basic concepts for the Kermack and McKendrick model with static heterogeneity [PDF]
arXiv, 2023 In this paper, we consider the infection-age-dependent Kermack--McKendrick model in which host individuals are distributed in a continuous state space. To provide a mathematical foundation for the heterogeneous model, we develop a $L^1$-framework to formulate basic epidemiological concepts.
arxiv
Mathematical Modeling for Hospitalization due to Temperature Variations [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 Sudden changes in temperature occur due to ecological disturbances which results into global warming, volcanic eruption, depletion of ozone layer etc. This has become a crucial environmental and social issue all over the world.
Nita H. Shah +3 more
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MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS
Barekeng, 2020 This research developed a model of tuberculosis disease spread using the SIR model with addition of the medical mask usage factor. First, we create a diagram of the tuberculosis disease spread compartment through contact between individuals with medical ...
Nur Inayah +3 more
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Asymptotic profiles of basic reproduction number for epidemic spreading in heterogeneous environment [PDF]
arXiv, 2019 The effect of diffusion rates on the basic reproduction number of a general compartmental reaction-diffusion epidemic model in a heterogeneous environment is considered. It is shown when the diffusion rates tend to zero, the limit of the basic reproduction number is the maximum value of the local reproduction number on the spatial domain.
arxiv
Psychological effect can lead to bistability in epidemics [PDF]
arXiv, 2020 In this paper, we study the psychological effect in a SIS epidemic model. The basic reproduction number is obtained. However, the disease free equilibrium is always asymptotically stable, which doesn't depends on the basic reproduction number. The system has a saddle-node bifurcation appear and displays bistable behavior, which is a new phenomenon in ...
arxiv
Epidemic threshold conditions for seasonally forced SEIR models
Mathematical Biosciences and Engineering, 2005 In this paper we derive threshold conditions for eradication of diseases that can be described by seasonally forced susceptible-exposed-infectious-recovered (SEIR) models or their variants. For autonomous models, the basic reproduction number $\mathcal{R}
Junling Ma, Zhien Ma
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