Dynamical properties of a stage structured model of a species with Michaelis-Menten type harvesting and intra-species competition

Abstract

The study of stage-structured models in population dynamics is an effective way to understand future demographics better. This article investigates a single-species stage-structured model for its dynamical properties with an intra-group competition in the Juvenile species and with Michaelis-Menten type harvesting on the adult group. The study focuses on both qualitative and numerical investigations. The dynamics of the model remain complex and rich. We tried to understand the biological, ecological, and economic implications of the dynamic data found from the investigation. Suitable Lyapunov and Dulac functions have been used for the global asymptotic stability of equilibrium points. The global asymptotic stability of internal equilibrium points reveals the possibility of bistability under reasonable parameter values. Despite intraspecies competition in the juvenile group, the adult population may be harvested significantly, ensuring the sustainable existence of the population.

Dhaka Univ. J. Sci. 74(1): 168-178, 2026 (January)