PIMS/CSC Seminar: Nessy Tania

Pattern formations in predator-prey systems have been widely studied in the past. In contrast to existing studies where growth and predation functional forms are analyzed, I will discuss the effect of social interactions during foraging. Motivated by chemotaxis equations, such as the Keller-Segel system, our model includes taxis terms where foragers are attracted to prey. I will show that simple taxis of foragers and randomly moving prey will not lead to any spatiotemporal pattern. However, a population of foragers with two types of behaviours can lead to spontaneous emergence of oscillatory patches. I will also discuss the conditions under which one or another of these behavior is more beneficial to the individual by measuring the food intake.