Results 41 to 50 of about 849 (135)
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
wiley +1 more source
Open Mathematics, 2019 In this paper, we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge. By analyzing the characteristic equations, we study the local stability of the equilibrium of the system ...
Xiao Zaowang +3 more
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Prey-predator model in drainage system with migration and harvesting
Nonautonomous Dynamical Systems, 2021 In this paper, we consider a prey-predator model with a reserve region of predator where generalist predator cannot enter. Based on the intake capacity of food and other factors, we introduce the predator population which consumes the prey population ...
Roy Banani, Roy Sankar Kumar
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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
wiley +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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Abstract and Applied AnalysisMSC2020 Classification: 92D30, 37N25, 34D20, 92B05 ...
Philip N. A. Akuka +2 more
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An eco-epidemiological model with predator switching behavior
Computational and Mathematical Biophysics, 2023 Switching mechanism is adopted by predator populations when they are provided with two types of prey: susceptible and infected. In this study, we propose a modification of an eco-epidemiological model with the predator switching mechanism.
Tripathi Deepak, Singh Anuraj
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Do Longer Delays Matter? The Effect of Prolonging Delay in CTL Activation [PDF]
, 2010 The activation of a specific immune response takes place in the lymphoid organs such as the spleen. We present here a simplified model of the proliferation of specific immune cells in the form of a single delay equation.
Gallegos, Angela, Radunskaya, Ami
core +2 more sources
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
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
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