A model of seasonal savanna dynamics

P Klimasara, M Tyran-Kamińska - SIAM Journal on Applied Mathematics, 2023 - SIAM
We introduce a mathematical model of savanna vegetation dynamics. The usual approach
of nonequilibrium ecology is extended by including the impact of wet and dry seasons. We …

The effects of random and seasonal environmental fluctuations on optimal harvesting and stocking

A Hening, KQ Tran, SC Ungureanu - Journal of Mathematical Biology, 2022 - Springer
We analyze the harvesting and stocking of a population that is affected by random and
seasonal environmental fluctuations. The main novelty comes from having three layers of …

Spatiotemporal dynamics in a three-component predator–prey model

M Chen, XZ Li, C Tian - Applied Mathematics Letters, 2025 - Elsevier
This paper explores the spatiotemporal dynamics of a three-component predator–prey
model with prey-taxis. We mainly show the existence of the steady state bifurcation and the …

Large Deviations of Piecewise-Deterministic-Markov-Processes with Application to Stochastic Calcium Waves

G Barbet, J MacLaurin, M Silverstein - ar** and applying stochastic models to analyze complex
biological systems. It leverages Large Deviation Theory (LDT) to gain insights into these …