Results 41 to 50 of about 308 (146)

Global stability analysis and control of leptospirosis

open access: yesOpen Mathematics, 2016
The aim of this paper is to investigate the effectiveness and cost-effectiveness of leptospirosis control measures, preventive vaccination and treatment of infective humans that may curtail the disease transmission. For this, a mathematical model for the
Okosun Kazeem Oare   +2 more
doaj   +1 more source

A Stochastic Model of Icosahedral Capsid Growth

open access: yesComputational and Mathematical Methods in Medicine, Volume 6, Issue 2, Page 95-97, 2005., 2005
A model of growth of icosahedral capsids is proposed. It is similar to the stochastic model of fullerene growth, but takes into account variations in the composition of pentamers and hexamers that are responsible for the final capsid size. We show that the observed high yield of capsid production implies a high level of self‐organization of the ...
R. Kerner
wiley   +1 more source

Temperature‐Driven Dynamics of Tomato Yellow Leaf Curl Virus: A Mathematical Modeling Approach

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Purpose Tomato yellow leaf curl virus (TYLCV), transmitted by whiteflies, is a highly destructive pathogen that threatens tomato production worldwide. Temperature plays a crucial role in determining how tomato plants respond to TYLCV infection, primarily because it influences the activity and population dynamics of insect vectors.
Berhe Nerea Kahsay   +2 more
wiley   +1 more source

Effect of randomly fluctuating environment on autotroph‐herbivore model system

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3703-3716, 2004., 2004
First we deal with a brief introduction of the autotroph‐herbivore model system along with deterministic analysis of local stability, bifurcation behavior, and persistence of the populations. The second part consists of the stochastic formulation of the model system to incorporate the effect of environmental fluctuation and then analysis of ...
Tapan Saha, Malay Bandyopadhyay
wiley   +1 more source

Mathematical Models for the Prevention and Management of Cereal Crop Diseases: A Systematic Review

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Mathematical modeling plays an important role in understanding and managing diseases that threaten cereal crop production worldwide. This systematic review, conducted in accordance with PRISMA guidelines, examines mathematical models developed for the prevention and management of diseases affecting maize, rice, wheat, barley, and sorghum.
Furaha Michael Chuma, Deli Zhang
wiley   +1 more source

Subthreshold domain of bistable equilibria for a model of HIV epidemiology

open access: yesInternational 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

Modeling the Transmission and Control Dynamics of HIV/AIDS–Cryptococcal Meningitis Co‐Infection

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents a mathematical model for the transmission and control dynamics of HIV/AIDS and cryptococcal meningitis (CM) co‐infection. Using a compartmental framework, a system of differential equations is formulated to represent the susceptible, exposed, pre‐AIDS, AIDS, and co‐infected populations.
James David Vedasto   +3 more
wiley   +1 more source

The generalized Turner‐Bradley‐Kirk‐Pruitt equation

open access: yesInternational 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

A Neural Network Approach to Fractional‐Order Reaction–Diffusion Epidemic Model Based on SEIAR Dynamics

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the SEIAR epidemic model within the Caputo time‐fractional derivative of order α and a diffusion operator in one dimension. The modified formulation also contains two measures of effort; u1, which concerns the adoption of infection prevention measures, such as taking health precautions in gatherings and working to decrease social ...
Ahmed Ezzat Matouk   +3 more
wiley   +1 more source

An epidemic model with density dependent parameters and vaccination

open access: yesInternational 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
wiley   +1 more source

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