MATHEMATICAL MODEL OF WEST NILE VIRUS WITH INFECTED IMMIGRANT BIRDS | Asian Journal of Mathematics

Mathematical modelling has long aided in the challenging task of controlling infectious diseases. Modeling has been used to control and prevent diseases such as malaria, cholera, cancer, and others. Mathematical Model of the West Nile Virus in Infected Immigrant Birds is the subject of this study. The West Nile virus is a flavivirus spread by mosquitos in temperate and tropical areas of the world. Fever, headaches, lethargy, muscle discomfort or aches, malaise, nausea, anorexia, vomiting, myalgias, and rash are some of the most common symptoms of this virus infection. West Nile virus can cause encephalitis (brain inflammation), myelitis (swelling of the spiral cord), and swelling of the tissues around the brain and spinal cord in rare situations (meningitis). Infected birds transmit the virus primarily to female mosquitoes. The virus could be transmitted to humans by infected mosquitos. This study developed a model to track the dynamics of the west nile virus transmission between birds and mosquitoes. A nonlinear Ordinary Differential Equation is used to formulate the model. The model shows that reducing the number of infected birds entering the country can lessen the disease's peak infection rate among birds. However, numerical models demonstrate that immigration birds have no effect on the total number of infected mosquitos.

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