Results 41 to 50 of about 331 (165)

Dynamical analysis of a reaction–diffusion mosquito-borne model in a spatially heterogeneous environment

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
doaj   +1 more source

Species survival versus eigenvalues

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004
Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana   +2 more
wiley   +1 more source

The SIS-Model on Time Scales [PDF]

open access: yes, 2016
In this paper, we introduce the epidemic model following the hypothesis of the disease flow Susceptible → Infected → Susceptible, short SIS, on time scales.
Streipert, Sabrina H., Bohner, Martin
core   +1 more source

Modeling Wolbachia infection frequency in mosquito populations via a continuous periodic switching model

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we develop a continuous periodic switching model depicting Wolbachia infection frequency dynamics in mosquito populations by releasing Wolbachia-infected mosquitoes, which is different from the discrete modeling efforts in the literature.
Shi Yantao, Zheng Bo
doaj   +1 more source

A Double Age‐Structured Model for Within‐Host Malaria Dynamics: Coupling RBC Lifespan and Infection Age

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Malaria is one of the most prevalent diseases spread by mosquitoes in tropical and subtropical areas. In this study, we present an age‐structured mathematical model for the within‐host dynamics of Plasmodium falciparum malaria, employing a dual age‐structured partial differential equation (PDE) incorporating chronological age, a for uninfected red ...
Adugna Gadisa Geleta   +3 more
wiley   +1 more source

Logistic equation with the p‐Laplacian and constant yield harvesting

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 9, Page 723-727, 2004., 2004
We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐type growth rate function, and a constant yield harvesting. We use sub‐super‐solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
Shobha Oruganti   +2 more
wiley   +1 more source

Mathematical modelling of the effects of peer-educators’ campaign on the dynamics of HIV/AIDS in Rwanda [PDF]

open access: yes, 2019
In this paper, we analyse the effects of peer-educator’s campaign on the dynamics of HIV. We present a sex-structured model for heterosexual transmission of HIV/AIDS in a community. The model is formulated using integro-differential equations, which help
Ntaganda, Jean Marie   +2 more
core   +1 more source

Modeling and Dynamical Analysis of a Beddington–DeAngelis Predator–Prey System With Additional Food and Habitat Complexity

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Providing predators with additional or alternative food sources, along with increasing habitat complexity, is a widely recognized strategy in biological control. Both theoretical and experimental studies highlight that the quality and quantity of supplementary food are crucial factors influencing the effectiveness of pest regulation. This study reports
Md. Jasim Uddin   +3 more
wiley   +1 more source

Analysis of an age‐dependent SI epidemic model with disease‐induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases

open access: yesJournal of Applied Mathematics, Volume 2004, Issue 3, Page 235-254, 2004., 2004
An SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease‐induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing.
M. El-Doma
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

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