Numerical investigations on Dengue fever model through singular and non-singular fractional operators

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Untreated Dengue fever is a big issue today because it is caused by the Dengue virus which is considered a highly dangerous and deadly viral infection. In other words, the purpose of this research is to formulate new fractional derivative model that can explain what leads to Dengue fever outbreaks. Mathematical techniques along with the information found here play an important role in helping society overcome some diseases. Its basic aim is to describe how the recommended Arbitrary-order Dengue fever disease model works and the methods used to create computerized versions of it. It represents the likelihood that the virus will be spread to a general population. The research explored Dengue fever using three types of arbitrary-order derivative operators: Caputo with power law, Caputo–Fabrizio with exponential decay and Atangana–Baleanu with a Mittag–Leffler function. The arbitrarily ordered system is studied using fixed-point theory, we examined the basic reproduction number and its stability as well. Systematic studies are done to determine the numerical solutions of Dengue fever using three different types of numerical approaches. A study for numerical simulation looked at the influence of and on the spread of Dengue fever. It was shown that vaccinating more people and decreasing contact rates lead to less Dengue fever in human populations.