2020/01/08 by N. S. N. V. K. Vyshnavi Devi, Devi, N. S. N. V. K. Vyshnavi, Debaldev Jana +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Chaotic Dynamics (nlin.CD) #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)
paper · pdf · doi:10.48550/arxiv.2001.02371
openalex publication_date 2020/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We perform a detailed analysis of the behaviour of a non-autonomous prey-predator model where age based growth with age discriminatory harvesting in prey and predator's reliance upon alternative food in the absence of that particular prey are considered. We begin by deriving certain sufficient conditions for permanence and positive invariance and then proceed to construct a Lyapunov function to derive some constraints for global attractivity. With the help of continuation theorem we arrive at the best fit criterion to prove the occurrence of a positive periodic solution. Moreover, using Arzela-Ascoli theorem we formulate a proof for a unique positive solution to be almost periodic and we carry out numerical simulation to verify the analytical findings. With the aid of graphs and tables we show the nature of the prey-predator system in response to the alternative food and delays.