[SS25] Unravelling Double Trouble: Using Mathematical Models to Tackle Ecological Challenges and Neurological Disorders

[SS25-04] Some recent results in additional food mediated biological control.

*rana parshad¹ (1. iowa state university (United States of America))

Keywords:

biological control,ODE patch model,PDE model,fast diffusion,finite time extinction

Biological control is the control of agricultural pests via their natural enemies such as predators and parasitoids. We present recent results on biocontrol models where the predators efficacy is increased via an additional food source. We discuss the temporal model with drift between patches, wherin global stability of the pest extinction state is proved. We also discuss the spatially explicit model with drift, where "fast" dispersal of the species is considered. In this setting global existence of weak solutions is proved. Certain finite time extinction dynamics are also shown.