Exponential extinction of discrete Nicholson's blowflies systems with patch structure and mortality terms


Authors

J. Alzabut - Department of Mathematics and Physical Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia. S. Obaidat - Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia. Z. Yao - Department of Mathematics and Physics, Anhui University of Architecture, Hefei, Anhui 230601, China.


Abstract

Discrete Nicholson's blowflies systems with patch structure and mortality terms are considered in this paper. Based on certain discrete inequalities, we prove the boundedness of the systems. Using this result, sufficient conditions are then established to guarantee the exponential extinction for the systems. We provide numerical examples verified by illustrative figures to demonstrate the validity of the proposed results.


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