Pest control using farming awareness: Impact of time delays and optimal use of biopesticides

We investigate a mathematical model in crop pest management, considering plant biomass, pest, and the effect of farming awareness. The population is divided into two compartments: susceptible infected pest. assume that growth rate self-aware people proportional to density healthy pests present field. Impacts awareness modeled via saturated term. It further assumed will adopt biological control methods, namely integrated management. Susceptible are detrimental crops and, moreover, there may be some time delay measuring A also take place while becoming aware strategies or taking necessary steps attack. In agreement, we develop our incorporating delays system. existence stability criteria equilibria obtained terms basic reproduction number delays. Stability switches occur through Hopf-bifurcation when cross critical values. Optimal theory has been applied for cost-effectiveness delayed Numerical simulations illustrate analytical results.