A Fractional-Order Density-Dependent Mathematical Model to Find the Better Strain of Wolbachia

The primary objective of the current study was to create a mathematical model utilizing fractional-order calculus for purpose analyzing symmetrical characteristics Wolbachia dissemination among Aedesaegypti mosquitoes. We investigated various strains determine most sustainable one through predicting their dynamics. is an effective tool controlling mosquito-borne diseases, and several have been tested in laboratories released into outbreak locations. This aimed features efficient strain from perspective. accomplished by integrating density-dependent death rate cytoplasmic incompatibility (CI) examine spread non-Wolbachia developed here physically meaningful assessed equilibrium points presence absence disease. Eight were determined, local global stability determined using Routh–Hurwitz criterion linear matrix inequality theory. basic reproduction number calculated next-generation method. research also involved conducting numerical simulations evaluate behavior different identify optimal CI value reducing disease spread.