Modelling drug resistance and insecticide e ects in infectious disease transmission with saturated incidence for control interventions

Abstract

The burden of vector-borne infections is a complex interplay of biological, environmental,
and social factors. Dengue infection constitutes a substantial and multifaceted threat to
both human health and the socio-economic aspects of impoverished regions. In order to address
these challenges, a thorough comprehension of the complex dengue dynamics is necessary. In this
study, we construct an epidemic model for dengue with saturated incidence in the framework of
Caputo-Fabrizio derivative with drug resistance. Boundedness and positivity of the solution of
the suggested model are examined. The endemic indicator, denoted by R0, is computed using the
next-generation matrix technique. It is demonstrated that for R0 < 1, the system’s infection-free
steady-state is locally asymptotically stable. The fixed-point theorem is then used to examine the
existence and uniqueness of the proposed system’s solution. The time series analysis of the model
has been presented to illustrate the influence of several parameters on the dengue infection system.
The role of memory index has been conceptualized through numerical findings. Our findings
anticipate the pivotal scenario within the system pertinent to the control and prevention of dengue.