Coexistence and extinction in Time-Periodic Volterra-Lotka type systems with nonlocal dispersal

Tung Nguyen, Nar Rawal
2018 Discrete and continuous dynamical systems. Series B  
This paper deals with coexistence and extinction of time periodic Volterra-Lotka type competing systems with nonlocal dispersal. Such issues have already been studied for time independent systems with nonlocal dispersal and time periodic systems with random dispersal, but have not been studied yet for time periodic systems with nonlocal dispersal. In this paper, the relations between the coefficients representing Malthusian growths, self regulations and competitions of the two species have been
more » ... obtained which ensure coexistence and extinction for the time periodic Volterra-Lotka type system with nonlocal dispersal. The underlying environment of the Volterra-Lotka type system under consideration has either hostile surroundings, or non-flux boundary, or is spatially periodic. (2) 2010 Mathematics Subject Classification. Primary: 45K05, 92D25, 92D40.
doi:10.3934/dcdsb.2018080 fatcat:btwo5frlxre4dcbycm4yvi7a4y