Mathematical Modeling of CRYPTOSPORIDIOSIS Disease
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Date
2016-08
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Addis Ababa University
Abstract
The mathematical consequence of the disease-free equilibrium being locally asymptotically stable with the related epidemic fundamental reproduction of cryptosporidiosis is studied in the mathematical model for cryptosporidium infection. The infection model from the sensitivity analysis 0 is more sensitive to δ and crypto parameters when Rcr0>1. For the cryptosporidiosis reproductive number ( Rcr0) >1 is less sensitive. this is explanation of cryptospridiosis. Cryptosporidium is organized with water born transmission implement through dejection –oral path in many recreational water facilities. The homotopy decomposition method (HDM), a recently discovered analytical technique, is used to get the approximation or estimate solution by the numerical result. The etiological agent of cryptosporidiosis, an intestinal disease marked by frequent watery diarrhea, is Cryptosporidium, a protozoan parasite belonging to the species Ape complex. There are more than 30 known species of Cryptosporidium. The species most often linked to human infection include Cryptosporidium parvum and Cryptosporidium hominidi.Contact with diseased animals has been linked to the zoonotic transmission of cryptosporidiosis in humans in several cases, while a cryptosporidium infection by itself is not deadly, cryptosporidiosis which can lead to periodic epidemic disease—remains a significant worldwide cause of morbidity and mortality if an immune system is weakened.
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Keywords
Mathematical Modeling, CRYPTOSPORIDIOSIS, Disease-free Equilibrium