Threshold dynamics of a stochastic Keizer’s model with stochastic incidence
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DOI: 10.1007/s10910-016-0730-8
Abstract: In this paper, we incorporate stochastic incidence of a chemical reaction into the standard Keizer’s open chemical reaction. We prove that a positive stationary distribution (PSD) for the associated chemical master equation exists and is… read more here.
Keywords: keizer model; keizer; stochastic incidence; model ... See more keywords
Global threshold dynamics of an SVIR model with age-dependent infection and relapse
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Biological Dynamics"
DOI: 10.1080/17513758.2016.1226436
Abstract: ABSTRACT A susceptible-vaccinated-infectious-recovered epidemic model with infection age and relapse age has been formulated. We first address the asymptotic smoothness of the solution semiflow, existence of a global attractor, and uniform persistence of the model.… read more here.
Keywords: global threshold; age; infection; relapse ... See more keywords
Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination
Sign Up to like & getrecommendations! Published in 2017 at "Computational and Mathematical Methods in Medicine"
DOI: 10.1155/2017/7294761
Abstract: In this paper, the dynamical behaviors for a stochastic SIRS epidemic model with nonlinear incidence and vaccination are investigated. In the models, the disease transmission coefficient and the removal rates are all affected by noise.… read more here.
Keywords: sirs epidemic; nonlinear incidence; incidence vaccination; stochastic sirs ... See more keywords
Threshold Dynamics of the Switched Multicity Epidemic Models with Pulse Control
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DOI: 10.1155/2019/4643912
Abstract: This paper mainly studies the threshold dynamics of new multicity HIV (Human Immunodeficiency Virus) epidemic models with switching parameters and pulse control. The model’s parameters are assumed to be time-varying functions and switching functional forms… read more here.
Keywords: pulse control; multicity; multicity epidemic; epidemic models ... See more keywords