Results 11 to 20 of about 40 (40)

Attractors and Finite‐Dimensional Behaviour in the 2D Navier‐Stokes Equations

International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
The purpose of this review is to give a broad outline of the dynamical systems approach to the two‐dimensional Navier‐Stokes equations. This example has led to much of the theory of infinite‐dimensional dynamical systems, which is now well developed.
James C. Robinson, I. Fragala, G. Mantica, A. Peris   +3 more
wiley   +1 more source

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

International 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, Temesgen Duressa Keno, Chernet Tuge Deressa, Elena Kaikina   +3 more
wiley   +1 more source

Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
A deterministic model with variable human population for the transmission dynamics of malaria disease, which allows transmission by the recovered humans, is first developed and rigorously analyzed. The model reveals the presence of the phenomenon of backward bifurcation, where a stable disease‐free equilibrium coexists with one or more stable endemic ...
Li-Ming Cai, Abid Ali Lashari, Il Hyo Jung, Kazeem Oare Okosun, Young Il Seo, Sanyi Tang   +5 more
wiley   +1 more source

An Age‐Structured Mathematical Model of Malaria Transmission Dynamics With Imperfect Vaccination in the Context of Partial Differential Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Malaria remains one of the leading causes of morbidity and mortality worldwide, particularly in tropical and subtropical regions. In 2024 alone, the WHO African Region reported approximately 265 million cases and 579,000 deaths. To address this persistent public health challenge, we developed a novel age‐structured mathematical model for malaria ...
Dechasa Wegi Dinsa, Temesgen Duressa Keno, Chernet Tuge Deressa, Nawab Hussain   +3 more
wiley   +1 more source

Modelling HIV/AIDS Epidemic among Men Who Have Sex with Men in China

BioMed Research International, Volume 2013, Issue 1, 2013., 2013
A compartmental model with antiviral therapy was proposed to identify the important factors that influence HIV infection among gay men in China and suggest some effective control strategies. We proved that the disease will be eradicated if the reproduction number is less than one.
Xiaodan Sun, Yanni Xiao, Zhihang Peng, Ning Wang, Lucia Lopalco   +4 more
wiley   +1 more source

Mathematical Model of Drug‐Sensitive and Drug‐Resistance Malaria Competition With Antimalaria Therapy

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The interplay between drug‐sensitive and drug‐resistant malaria parasites within a host is a complex phenomenon that significantly impacts antimalarial treatment effectiveness and the evolution of resistance. This study analyzes the dynamical behavior of a within‐host malaria model incorporating maturation delay τ˜m, immune activation delay τ˜i, and ...
Adugna Gadisa Geleta, Temesgen Duressa Keno, Chernet Tuge Deressa, Shikha Binwal   +3 more
wiley   +1 more source

Process Completing Sequences for Resource Allocation Systems with Synchronization

Journal of Control Science and Engineering, Volume 2012, Issue 1, 2012., 2012
This paper considers the problem of establishing live resource allocation in workflows with synchronization stages. Establishing live resource allocation in this class of systems is challenging since deciding whether a given level of resource capacities is sufficient to complete a single process is NP‐complete.
Song Foh Chew, Shengyong Wang, Mark A. Lawley, Jin-Shyan Lee   +3 more
wiley   +1 more source

Mathematical Analysis of a Periodic Delay Differential System for Mosquito Population Suppression Using Wolbachia‐Infected Males Releases

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a mathematical analysis of a nonautonomous delay differential system. This system models mosquito population dynamics under the influence of seasonal environmental fluctuations and a biological control strategy based on the continuous release of Wolbachia‐infected males.
Wendpanga Birba, Boureima Sangaré, Serge M. A. Somda, Gaetano Siciliano   +3 more
wiley   +1 more source

Dynamical Analysis of an HIV Infection Model Including Quiescent Cells and Immune Response

Mathematical Methods in the Applied Sciences, Volume 48, Issue 15, Page 14301-14315, October 2025.
ABSTRACT This research gives a thorough examination of a human immunodeficiency virus (HIV) infection model that includes quiescent cells and immune response dynamics in the host. The model, represented by a system of ordinary differential equations, captures the complex interaction between the host's immune response and viral infection.
Ibrahim Nali, Attila Dénes, Abdessamad Tridane, Xueyong Zhou   +3 more
wiley   +1 more source

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source