Pseudo almost periodic solutions for a Lasota–Wazewska model with an oscillating death rate

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Abstract

This paper is concerned with a Lasota–Wazewska model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the existence and stability of positive pseudo almost periodic solutions. The obtained result complements with some existing ones.

Keywords

Positive pseudo almost periodic solution
Exponential convergence
Lasota–Wazewska model
Oscillating death rate

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This work was supported by the National Natural Science Foundation of China (grant no. 11201184).