A mathematical model for malaria transmission relating global warming and local socioeconomic conditions

Abstract

ObjectiveSensitivity analysis was applied to a mathematical model describing malaria transmission relating global warming and local socioeconomic conditions. Methods A previous compartment model was proposed to describe the overall transmission of malaria. This model was built up on several parameters and the prevalence of malaria in a community was characterized by the values assigned to them. To assess the control efforts, the model parameters can vary on broad intervals. ResultsBy performing the sensitivity analysis on equilibrium points, which represent the level of malaria infection in a community, the different possible scenarios are obtained when the parameters are changed. Conclusions Depending on malaria risk, the efforts to control its transmission can be guided by a subset of parameters used in the mathematical model. Resumo Objetivo

Revisión de modelos migratorios

“…En este modelo se considera que tanto las personas como la enfermedad pueden migrar a diferencia de lo expuesto en [43] donde se propone que solamente existe migración de personas. Un análisis de la trasmisión de la malaria a partir de un modelo matemático de compartimientos que tiene en cuenta el calentamiento global y las condiciones socioeconómicas se puede apreciar en [49]. Se proponen siete compartimientos para los humanos con sus respectivas ecuaciones diferenciales: susceptibles, infectados pero no infecciosos, infecciosos, inmune, parcialmente inmune, no inmune pero con memoria inmunológica y en incubación después de una reinfección.…”

A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying

“…Rafikov et al [5] reported an efficient control strategy of malaria vector with the aid of genetically altered mosquitoes. Yang [6] suggested another approach for describing the malaria transmission connected with global warming and local socioeconomic circumstances. In a recent work, Senthamarai et al [7] utilized the HAM to examine the spreading of malaria illness in an SIRS-SI model.…”

Mathematical Analysis of Malaria-Schistosomiasis Coinfection Model

“…The disease, schistosomiasis, also known as bilharziasis or snail fever, is a parasitic disease that was first named bilharzia [8,9] and it is prevalent in several regions of the 2 Epidemiology Research International developing world, predominantly Africa, South America, and Asia, with about 650 million people living in the endemic areas [10]. It is known that estimated 207 million people are infected, where 85 percent lives in underdeveloped areas of Africa [11], resulting in about 15,000 deaths annually presently [2].…”

“…It is known that estimated 207 million people are infected, where 85 percent lives in underdeveloped areas of Africa [11], resulting in about 15,000 deaths annually presently [2]. Children below the age of 14 are the major victims of schistosomiasis infection in many parts of the world [10]. The basis of illness in victims is the eggs laid by the parasitic flat worms, that is, blood flukes of the genus Schistosoma [8].…”

“…The urinary tract and kidneys as well as the reproductive systems are affected by the Schistosoma haematobium, and they are intense in Africa and the Middle East [8]. The most widely spread species is the Schistosoma mansoni while Schistosoma japonicum is chiefly found in Asia and these two cause chronic hepatic and intestinal fibrosis [8,10]. When skin comes in contact with contaminated freshwater in which certain types of snails that carry the parasite are living then the infection can be established [8].…”