Existence and Stability of Positive Periodic Solution of Delay Logistic Ecosystem with Feedback Control and Diffusion

We consider the delay Logistic ecosytem with feedback control and diffusion of the form (1.1) ∂ N ( x , t ) ∂ t = d ( t ) Δ N ( x , t ) + N ( x , t ) [ a ( t ) = b ( t ) N ( x , t ) − c ( t ) N ( x , t − m T ) − e ( t ) u ( x , t ) ] ∂ z ( x , t ) ∂ t = − f ( t ) u ( x , t ) + g ( t ) N ( x , t ) + g ( t ) N ( x , t ) ,   ( x , t ) ∈ Ω × R + ,   R + = [ 0 , +   ∞ ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003067498/6ba0c26b-f086-40cc-86ed-1693dc596221/content/eq6025.tif"/>