@article{Mondal2025, 
author = {Saiful Rahman Mondal},
title = {Starvation-recovery dynamics: insights via a nutritional state-structured model},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {26418-26445},
keywords = {starvation dynamics, resource replenishment, differential equations, ecological modeling},
url = {https://www.sciopen.com/article/10.3934/math.20251161},
doi = {10.3934/math.20251161},
abstract = {This paper presents a nutritional state-structured model (NSM) to explore the dynamics of starvation and recovery in consumer-resource systems, focusing on full consumers (   F), hungry consumers (   H), and resources (   R). The model employs a system of differential equations to capture ecological processes such as reproduction, starvation, and resource regeneration. Through bifurcation analysis, we identified critical thresholds, notably the starvation rate (   σ) relative to the reproduction rate (   λ), that dictate system stability, transitioning between extinction and coexistence equilibria. Parameter sensitive and numerical simulations revealed how parameter variations influence population persistence and resource sustainability, with    σ  >  λ promoting balanced ecosystems and    λ  >  σ leading to potential overexploitation. The analogue of the basic reproduction number (             R              e      ) was derived using the next-generation matrix method, providing insights into the invasion dynamics and stability conditions of the system. This framework serves as a robust tool for analyzing eco-evolutionary interactions and assessing population persistence under resource-limited conditions. Finally, we demonstrated how higher fat reserves enhance competitive advantage, thereby driving the evolutionary trend toward larger body sizes as predicted by Cope's rule.}
}