Results 51 to 60 of about 957 (157)
Subthreshold domain of bistable equilibria for a model of HIV epidemiology
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 58, Page 3679-3698, 2003., 2003 A homogeneous‐mixing population model for HIV transmission, which incorporates an anti‐HIV preventive vaccine, is studied qualitatively. The local and global stability analysis of the associated equilibria of the model reveals that the model can have multiple stable equilibria simultaneously.
B. D. Corbett +2 more
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The generalized Turner‐Bradley‐Kirk‐Pruitt equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 73-80, 2002., 2002 Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner‐Bradley‐Kirk‐Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. The chief novelty consists in exploiting the value set of the equation, that is, the set of values taken on
Ray Redheffer
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Bifurcations for a deterministic SIR epidemic model in discrete time
, 2014 In this paper, we are concerned with the theoretical analysis of the bifurcations for a deterministic SIR epidemic model in discrete time. By deriving equations describing flows on the center manifolds, we discuss the transcritical bifurcation at the ...
Xiaoliang Zhou +2 more
semanticscholar +1 more source
Stochastic models of the growth dynamics of some dendritic cells
bioRxiv, 2018 Different models of tumor growth are considered. Some mathematical methods are developed to analyze the dynamics of mutations enabling cells in cancer patients to metas-tize. The mathematical models consist of some stochastic dynamical systems describing
Khairia El-Said El-Nadi Khairia
semanticscholar +1 more source
An epidemic model with density dependent parameters and vaccination
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 805-814, 1996., 1994 A model originally suggested by Greenhalgh [12] and later modified by that same author [13,14] is considered under the assumption that the transmission coefficient is inversely proportional to the total population size. The purpose of this study is to see the effect of this density dependent transmission coefficient on the stability criteria for the ...
Q. J. A. Khan, B. S. Bhatt
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Infectious Disease Modelling, 2021 Syphilis, a sexually transmitted infectious disease caused by the bacterium treponema pallidum, has re-emerged as a global public health issue with an estimated 12 million people infected each year.
Wenjun Jing +3 more
doaj +1 more source
Abstract and Applied AnalysisMSC2020 Classification: 92D30, 37N25, 34D20, 92B05 ...
Philip N. A. Akuka +2 more
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Computational and Mathematical Biophysics, 2023 This article presents a cost-effective optimal control analysis of interventions applied to a S2EI2RS type deterministic compartmental model of COVID-19, considering community awareness and immunity loss. We introduce two time-dependent controls, namely,
Lamba Sonu, Srivastava Prashant K.
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Stability of a secondary dengue viral infection model with multi-target cells
Alexandria Engineering Journal, 2022 Dengue is one of the vector-borne diseases spread in most parts of the world. The number of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment.
M.A. Alshaikh +2 more
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Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This work will study an optimal control problem describing the two‐strain SEIR epidemic model. The model studied is in the form of six nonlinear differential equations illustrating the dynamics of the susceptible and the exposed, the infected, and the recovered individuals.
Karam Allali +3 more
wiley +1 more source