Resource competition in stage-structured populations

Area of Science:

• Ecology
• Population Dynamics
• Theoretical Biology

Background:

• Consumer-resource systems are fundamental to ecological understanding.
• Population dynamics are often influenced by life-history stages (juvenile, adult).
• Logistic resource growth and Type II functional responses are common ecological assumptions.

Purpose of the Study:

• To develop and analyze two models of consumer-resource dynamics with distinct juvenile and adult consumer stages.
• To investigate how resource levels influence key life-history parameters like fecundity, maturation, and mortality.
• To determine the conditions necessary for consumer population establishment and stability.

Main Methods:

• Mathematical modeling of a consumer-resource system.
• Analysis of two models where resource levels affect different demographic rates.
• Investigating equilibrium conditions and stability criteria.

Main Results:

• Consumer establishment requires fecundity and maturation rates to exceed decay rates at the resource's carrying capacity.
• A minimum resource abundance threshold is identified for consumer population maintenance.
• An equilibrium stage structure was found, with minor instability when saturation constants differ between life stages.

Conclusions:

• Resource availability critically dictates consumer population persistence and stability.
• The models provide insights into the importance of life-stage structure in ecological dynamics.
• Findings have implications for understanding community structure and resilience in variable environments.