Date/Time
Date(s) - 27/03/2025
2:30 pm - 3:30 pm

Speaker: Konstantin Lenz Gil

Location: Hamilton Hall, Room 410 & Zoom

Title: Exploration of predator-prey model with delays in the prey growth and predator biomass conversion.

Abstract: Standard predator-prey ODEs assume that population growth and biomass conversion processes occur instantaneously. Relaxing this assumption introduces time delays between processes, replacing ODEs with delay-differential equations (DDEs). This presentation explores the effects of prey growth delay and biomass conversion delay in a two-species Gause type predator-prey model with Holling type I functional response. Previous research has demonstrated that introducing a delay in biomass conversion alone can induce chaotic dynamics. In this study, I combine analytical and numerical approaches to show that prey growth delay can “tame” the oscillatory behavior caused by biomass conversion delay. Specifically, in regions where biomass conversion delay induces chaos, increasing prey growth delay triggers period-halving bifurcations, ultimately leading to equilibrium. In regions where biomass conversion delay gives rise to periodic orbits in the absence of prey growth delay, the introduction of prey growth delay prevents the formation of these orbits. Additionally, increasing growth delay destabilizes the interior equilibrium, first stabilizing the prey-only equilibrium before eventually leading to the extinction of both species as growth delay becomes sufficiently large.