Abstract
Fractional derivatives are considered an influential weapon in terms of analysis of infectious diseases because of their nonlocal nature. The inclusion of the memory effect is the prime advantage of fractional-order derivatives. The main objective of this article is to investigate the transmission dynamics of dengue fever, we consider generalized Caputo-type fractional derivative (GCFD) (CD0β,σ) for alternate representation of dengue fever disease model. We discuss the existence and uniqueness of the solution of model by using fixed point theory. Further, an adaptive predictor-corrector technique is utilized to evaluate the considered model numerically.
Highlights
Bacteria and viruses are the sources of many infectious diseases that are very dangerous for human health
The existence of model and its uniqueness have been investigated with fixed point theory
A new adaptive P-C algorithm was implemented for the solution of the dengue fever disease (DFD) model
Summary
Bacteria and viruses are the sources of many infectious diseases that are very dangerous for human health. Many studies have been done on the stability theory and the existence and uniqueness results of biological models [3, 14, 20, 23, 35, 40] The development of models with variable order derivatives from different fields is increasing rapidly. The reason behind this is the competency of FC to capture memory and the hereditary nature of real-world problems.
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