Results 11 to 20 of about 86 (82)
A mathematical model to study the spread of COVID-19 and its control in India
Computational and Mathematical Biophysics, 2023 In this article, a nonlinear mathematical model is proposed and analyzed to study the spread of coronavirus disease (COVID-19) and its control. Due to sudden emergence of a peculiar kind of infection, no vaccines were available, and therefore, the ...
Naresh Ram +3 more
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Computational and Mathematical Methods in Medicine, Volume 11, Issue 3, Page 201-222, 2010., 2010 A deterministic compartmental sex‐structured HIV/AIDS model for assessing the effects of homosexuals and bisexuals in heterosexual settings in which homosexuality and bisexuality issues have remained taboo is presented. We extend the model to focus on the effects of condom use as a single strategy approach in HIV prevention in the absence of any other ...
Noble Malunguza +3 more
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Bifurcation analysis of HIV infection model with cell-to-cell transmission and non-cytolytic cure
Computational and Mathematical Biophysics, 2023 A mathematical model is proposed and discussed to study the effect of cell-to-cell transmission, the non-cytolytic process, and the effect of logistic growth on the dynamics of HIV in vivo.
Prakash Surya +2 more
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The Dynamics of an HIV/AIDS Model with Screened Disease Carriers
Computational and Mathematical Methods in Medicine, Volume 10, Issue 4, Page 287-305, 2009., 2009 The presence of carriers usually complicates the dynamics and prevention of a disease. They are not recognized as disease cases themselves unless they are screened and they usually spread the infection without them being aware. We argue that this has been one of the major causes of the spread of human immunodeficiency virus (HIV).
S. D. Hove-Musekwa, F. Nyabadza
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Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays
Open Mathematics, 2019 In this paper, we consider a nonautonomous two-species impulsive competitive system with infinite delays. By the impulsive comparison theorem and some mathematical analysis, we investigate the permanence, extinction and global attractivity of the system,
He Mengxin, Li Zhong, Chen Fengde
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Modelling Immune Response and Drug Therapy in Human Malaria Infection
Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 143-163, 2008., 2008 A new intra‐host model of malaria that describes the dynamics of the blood stages of the parasite and its interaction with red blood cells and immune effectors is proposed. Local and global stability of the disease free equilibrium are investigated. Conditions for existence and uniqueness of the endemic equilibrium are derived.
C. Chiyaka, W. Garira, S. Dube
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On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 56, Page 2971-2987, 2004., 2004 A four‐dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three‐dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf‐Andronov‐Poincaré bifurcation for the four‐dimensional epidemic model are ...
M. M. A. El-Sheikh, S. A. A. El-Marouf
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On the optimality of double‐bracket flows
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 62, Page 3301-3319, 2004., 2004 We analyze the optimality of the stable fixed point of the double‐bracket equations. We introduce different types of optimality and prove local and global optimality results with respect to the Schatten p‐norms.
Anthony M. Bloch, Arieh Iserles
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An equivalence theorem concerning population growth in a variable environment
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2747-2758, 2003., 2003 We give conditions under which two solutions x and y of the Kolmogorov equation x˙=xf(t,x) satisfy limy(t)/x(t) = 1 as t → ∞. This conclusion is important for two reasons: it shows that the long‐time behavior of the population is independent of the initial condition and it applies to ecological systems in which the coefficients are time dependent.
Ray Redheffer, Richard R. Vance
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Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
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