Abstract
This chapter introduces and studies vector-borne diseases. The chapter lists a number of vector-borne diseases with their prevalences. A simple two-species model of a vector-borne disease is introduced and studied mathematically. Delay-differential equations are introduced, and the simple vector-borne disease model is recast as a single delay-differential equation model. The simple model is studied both analytically and numerically, and it is shown to exhibit Hopf bifurcation and chaos. A couple of more complex ODE or DDE models of vector-borne diseases are studied.
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Martcheva, M. (2015). Vector-Borne Diseases. In: An Introduction to Mathematical Epidemiology. Texts in Applied Mathematics, vol 61. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-7612-3_4
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DOI: https://doi.org/10.1007/978-1-4899-7612-3_4
Publisher Name: Springer, Boston, MA
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