Abstract
A mathematical model is proposed to study the dynamics of the transmission of rabies, incorporating predation of dogs by humans. The model is shown to have a unique disease-free equilibrium which is globally asymptotically stable whenever ℛ0≤1. Local sensitivity analysis suggests that the disease can be controlled through reducing contact with infected dogs, increasing immunization of dogs, screening recruited dogs, culling of infected dogs, and use of dog meat as a delicacy.
Highlights
Rabies is a zoonotic viral disease that is usually transmitted by an infected animal through bites or scratch that introduces the virus into the blood of another animal or a human [1, 2]
Symptoms of rabies infection are general body weakness, fever, and headache, which are peculiar with common flu and other viral diseases
A nonlinear mathematical model has been proposed to study the dynamics of rabies infection among dogs and in a human population that is exposed to dog bites
Summary
Rabies is a zoonotic viral disease that is usually transmitted by an infected animal (such as foxes, raccoons, cats, coyotes, bats, skunks, and dogs) through bites or scratch that introduces the virus into the blood of another animal or a human [1, 2]. Antirabies vaccination of all pets and domestic animals and humans, screening of imported animals, and awareness creation are some preexposure prophylaxis strategies that governments can embark on to prevent rabies. Journal of Applied Mathematics with tens of thousands contracting the disease annually Most of these infections are caused by dog bites due to the fact that dogs are closest in contact with humans since they are used as pets, as guards, for hunting purposes, and even as delicacies. To analyze the strategies for optimal distribution of vaccine baits in order to minimize the spread of the disease and the cost of carrying out the control, Ding et al [21] formulated a model to describe rabies in raccoons with discrete time and spatial features.
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