Qualitative Dynamics of Iterative Recruitment Model With Nonlinear Harvesting Effect

ABSTRACT This paper is concerned with the study of qualitative dynamics of recruitment model involving iterative dynamic equation on time scales with nonlinear harvesting effect. We provide here sufficient conditions for the existence and uniqueness of solutions by applying fixed point theory. We also discuss the continuous dependence of solution of the considered model. An illustrative example on discrete time scale is provided to support our main results. We also present a real‐life application of the model considered and discuss fish population dynamics in fisheries. The numerical simulations are done using Python programming.