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2021 | 37 | 102-116

Article title

Mathematical Modeling of Control Strategies for Visceral leishmaniasis

Content

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Abstracts

EN
In this paper, a deterministic mathematical model for the transmission dynamics of Visceral leishmaniasis (VL) was formulated and analyzed. The basic reproductive number R0 was obtained using the next generation matrix method. The model which was parameterized using the 2011 cases of Visceral Leishmaniasis in South Sudan, was used to assess two control measures. Numerical simulation reveals that the exposed population is reduced by high detection rate, and low biting rate of sandflies. Further, our model simulation gave the values of the contact rate of susceptible human, α1 and the detection rate of new cases, σ at which the basic reproductive number is less than one, (R0 < 1), equal to one (R0 = 1) and greater than one (R0 > 1).

Year

Volume

37

Pages

102-116

Physical description

Contributors

  • Department of Mathematics & Statistics, School of Mathematics and Computing, Kampala International University, Kampala, Uganda
  • Department of Education Science, Faculty of Education Open and Distance E- Learning, Kampala International University, Kampala, Uganda

References

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Document Type

article

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.psjd-6c433ea2-954e-456e-8387-7a23a1937b31
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