Mathematical model on the transmission dynamics of Dengue virus and its global stability
Journal Title: JOURNAL OF BIOLOGICAL ENGINEERING RESEARCH AND REVIEW - Year 2018, Vol 5, Issue 2
Abstract
We formulate a mathematical model of Dengue virus by considering two population sizes of human and mosquito. We define a basic reproductive number R0 and equilibrium points for our model. We prove that the disease-free equilibrium is globally stable when R0 < 1, which means the disease will die out and when đť‘… > 1, the endemic equilibrium is globally stable. Various numerical simulations using MATLAB are carried out to establish the analytical results. The efficacy of personal protection from mosquito to human and from pregnant women to newborn child are also carried out by numerical simulations.
Authors and Affiliations
Buddhadeo Mahato
Keywords
Related Articles
- EP ID EP554348
- DOI -
- Views 90
- Downloads 0
Larvicidal, Ovicidal and repellent effect of Citrus hystrix DC (Kaffir lime) fruit, peel and internal materials extracts on Aedes aegypti mosquitoes
The present study aimed to evaluate the larvicidal, ovicidal and repellent activity of ethanol extracts of dry fruit, peels and internal fruit materials of Citrus hystrix DC against Aedes aegypti. Aedes aegypti larvae we...
Therapeutic benefits of Ursolic acid in Parkinson’s, Alzheimer’s and Psychiatric diseases
Ursolic acid (UA) is present in many medicinal plant plants such as Mirabilis Jalapa, Mucuna pruriens and in many fruits like apple, blueberries consumed in daily life. UA present in large quantities in apple peels. Neur...
Structural differentiation of Aedes aegypti and Aedes albopictus eggs using Scanning Electron Microscope
Aedes aegypti and Aedes albopictus are common arboviral mosquitoes causing the fatal diseases globally. Although these two vectors are bionomically similar, the differences in morphology of egg between these two mosquito...
Somatic Mutations in Circulating Cell-Free D-Loop Region of Mitochondrial DNA: A Study from North-East India
Head and neck Squamous cell carcinoma (HNSCC) is highly prevalent in North east India. The widespread use of tobacco exposure is a known risk factor, making mitochondrial DNA (mtDNA) more susceptible to damage by oxidati...
Healthcare Evaluation Study of Community Workers residing in Gurgaon with respect to Blood Pressure, Blood Glucose Level, Blood Hemoglobin Level and Obesity
High blood pressure, diabetes mellitus, obesity and anemia are a major public health in India and prevalent all over the world. Hypertension exerts a significant public health burden on healthcare systems in India. Diabe...