☆ 4.7 Article

Mathematical analysis of a social hierarchy-structured model for malaria transmission dynamics

RESULTS IN PHYSICS (2022)

Related references

Note: Only part of the references are listed.

Article Computer Science, Interdisciplinary Applications

Modelling and analysis of human-mosquito malaria transmission dynamics in Bangladesh

Md Abdul Kuddus et al.

Summary: The study developed a human-mosquito transmission dynamics malaria model and analyzed the system properties and solutions, finding that malaria naturally dies out when the basic reproduction number is less than 1, and persists in the population when greater than 1. Sensitivity analysis identified the contact rate as having the most significant influence on malaria prevalence.

MATHEMATICS AND COMPUTERS IN SIMULATION (2022)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Understanding the effects of individual awareness and vector controls on malaria transmission dynamics using multiple optimal control

Meksianis Z. Ndii et al.

Summary: The study found that reducing the contact between humans and mosquitoes is crucial for lowering the number of malaria cases, with awareness programs and vector control playing a key role. Global sensitivity analysis identified biting rate, transmission probabilities, and mosquito numbers as the most influential parameters. Optimal control approach indicated that control strategies should be implemented at a higher level for effectiveness.

CHAOS SOLITONS & FRACTALS (2021)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions

Joshua Kiddy K. Asamoah et al.

Summary: This study emphasizes the importance of economic evaluation in disease control and proposes a compartmental structure for describing the dynamics of COVID-19. It found that multiple peaks of COVID-19 in Ghana and Egypt can be prevented by stringent health protocols and minimizing individual reluctance towards protective equipment.

CHAOS SOLITONS & FRACTALS (2021)

Add to Collection

Article Materials Science, Multidisciplinary

A mathematical model for the coinfection of Buruli ulcer and Cholera

Jin-Qiang Zhao et al.

Summary: The study focuses on the modeling and analysis of coinfection of Buruli and cholera through mathematical models and optimization of control strategies. By analyzing the stability of the models and R-0 values, the asymptotic stability of the coinfection model was determined, and bifurcation analysis was conducted. Numerical experiments showed that prevention and treatment are the most effective control strategies for minimizing infection.

RESULTS IN PHYSICS (2021)

Add to Collection

Article Materials Science, Multidisciplinary

Transmission dynamics of SARS-CoV-2: A modeling analysis with high-and-moderate risk populations

Salihu S. Musa et al.

Summary: This study employs an SEIR-based model to analyze the transmission dynamics of COVID-19 in Nigeria, highlighting the impact of different risk populations and proposing control strategies. Sensitivity analyses and numerical solutions validate the effectiveness of the model.

RESULTS IN PHYSICS (2021)

Add to Collection

Article Mathematics, Applied

Cost-effectiveness analysis on measles transmission with vaccination and treatment intervention

Shinta A. Rahmayani et al.

Summary: This paper presents a deterministic model describing the dynamics of measles transmission, with mathematical analysis and optimal control theory applied to investigate the optimal strategy for controlling measles spread. Results suggest that using the first dose measles vaccine with medical treatment is the most effective strategy for reducing the number of infected individuals.

AIMS MATHEMATICS (2021)

Add to Collection

Article Mathematics, Applied

Mathematical modeling and optimal control strategies of Buruli ulcer in possum mammals

Muhammad Altaf Khan et al.

Summary: The neglected tropical disease Buruli ulcer, found in many countries including Australia, is a skin disorder affecting the arms and legs, particularly in possums. A SIR type possum epidemic model was proposed and thoroughly studied for stability, showing both local and global asymptotic stability. An optimal control system using control variables was obtained to characterize necessary conditions for controlling the spread of the disease. Numerical simulation suggested that implementing all suggested controls is the best strategy for disease elimination.

AIMS MATHEMATICS (2021)

Add to Collection

Article Ecology

Modelling malaria dynamics with partial immunity and protected travellers: optimal control and cost-effectiveness analysis

S. Olaniyi et al.

JOURNAL OF BIOLOGICAL DYNAMICS (2020)

Add to Collection

Article Automation & Control Systems

Optimal control analysis of a tuberculosis model with exogenous re-infection and incomplete treatment

S. F. Abimbade et al.

OPTIMAL CONTROL APPLICATIONS & METHODS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Global stability and cost-effectiveness analysis of COVID-19 considering the impact of the environment: using data from Ghana

Joshua Kiddy K. Asamoah et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Proceedings Paper Mathematical & Computational Biology

Modelling Malaria Transmission in a Population with SEIRSp Method

Muhamad Adzib Baihaqi et al.

SYMPOSIUM ON BIOMATHEMATICS 2019 (SYMOMATH 2019) (2020)

Add to Collection

Article

Optimal Control and Cost-Effectiveness Analysis for Dysentery Epidemic Model

Hailay Weldegiorgis Berhe et al.

Applied Mathematics & Information Sciences (2018)

Add to Collection

Article Biology

Optimal control strategies and cost-effectiveness analysis of a malaria model

Kazeem O. Okosun et al.

BIOSYSTEMS (2013)

Add to Collection

Article Mathematical & Computational Biology

Global Stability Analysis of SEIR Model with Holling Type II Incidence Function

Mohammad A. Safi et al.

COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE (2012)

Add to Collection

Article Biology

Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model

Nakul Chitnis et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2008)

Add to Collection

Article Biology

Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

P van den Driessche et al.

MATHEMATICAL BIOSCIENCES (2002)

Add to Collection

Review Mathematics, Applied

The mathematics of infectious diseases

HW Hethcote

SIAM REVIEW (2000)

Add to Collection

© Peeref 2019-2024. All rights reserved.