Session S12 - Delay and functional differential equations and applications

Monday, July 12, 13:25 ~ 14:00 UTC-3

On persistence of the Nicholson's equation with multiple delays and non-linear harvesting

Melanie Bondorevsky

Universidad de Buenos Aires - IMAS (CONICET), Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

A generalization of the Nicholson's equation is considered. We analyze conditions to guarantee uniform persistence for an $N$-dimensional generalization of the Nicholson's equation with several delays and non-linear harvesting terms. In addition, the existence of $T$-periodic solutions shall be proved and, if the conditions are reversed, we will show that zero is a global attractor.

Joint work with Pablo Amster (Universidad de Buenos Aires - IMAS (CONICET)).

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