Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
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DOI: 10.1016/j.jde.2019.08.050
Abstract: Abstract We consider a Keller-Segel type chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate. It is a 2 × 2 reaction-diffusion system describing the interaction of cells and a chemical signal. We… read more here.
Keywords: sensitivity density; growth logarithmic; logistic growth; chemotaxis model ... See more keywords
Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment
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DOI: 10.1051/mmnp/2021004
Abstract: This paper describes an SIR model with logistic growth rate of susceptible population, non-monotonic incidence rate and saturated treatment rate. The existence and stability analysis of equilibria have been investigated. It has been shown that… read more here.
Keywords: control; sir model; treatment; rate ... See more keywords
Threshold Analysis of a Stochastic SIRS Epidemic Model with Logistic Birth and Nonlinear Incidence
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DOI: 10.3390/math11071737
Abstract: The paper mainly investigates a stochastic SIRS epidemic model with Logistic birth and nonlinear incidence. We obtain a new threshold value (R0m) through the Stratonovich stochastic differential equation, different from the usual basic reproduction number.… read more here.
Keywords: sirs epidemic; epidemic model; logistic birth; birth nonlinear ... See more keywords
Stochastic EM Algorithm for Joint Model of Logistic Regression and Mechanistic Nonlinear Model in Longitudinal Studies
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DOI: 10.3390/math11102317
Abstract: We study a joint model where logistic regression is applied to binary longitudinal data with a mismeasured time-varying covariate that is modeled using a mechanistic nonlinear model. Multiple random effects are necessary to characterize the… read more here.
Keywords: logistic regression; mechanistic nonlinear; joint model; model ... See more keywords