By employing the operator theory, the Lyapunov function on time scales and the famous Gronwall's inequality, this paper addresses some dynamic properties of almost periodic solutions for a class of two species co-existence delayed model on time scales with almost periodic coefficients and Ricker, as well as the Beverton-Holt type function. First, we establish the existence and uniqueness of the almost periodic solution with a positive infimum by transforming the initial model into an equivalent integral equation. Second, we investigate the global exponential stability and uniformly asymptotic stability of the positive almost periodic solution. Finally, we give two examples to illustrate the main presented results.
Citation: Ping Zhu. Dynamics of the positive almost periodic solution to a class of recruitment delayed model on time scales[J]. AIMS Mathematics, 2023, 8(3): 7292-7309. doi: 10.3934/math.2023367
By employing the operator theory, the Lyapunov function on time scales and the famous Gronwall's inequality, this paper addresses some dynamic properties of almost periodic solutions for a class of two species co-existence delayed model on time scales with almost periodic coefficients and Ricker, as well as the Beverton-Holt type function. First, we establish the existence and uniqueness of the almost periodic solution with a positive infimum by transforming the initial model into an equivalent integral equation. Second, we investigate the global exponential stability and uniformly asymptotic stability of the positive almost periodic solution. Finally, we give two examples to illustrate the main presented results.
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Ping Zhu. Dynamics of the positive almost periodic solution to a class of recruitment delayed model on time scales[J]. AIMS Mathematics, 2023, 8(3): 7292-7309. doi: 10.3934/math.2023367
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