Details

Autor(en) / Beteiligte

• Babu, Sibi C.
• Dilip, D. S.
• Mathew, Smitha Mary

Titel

Behavior of solutions of a discrete population model with mutualistic interaction

Ist Teil von

• Computational and Mathematical Biophysics, 2024-02, Vol.12 (1), p.161-188

Ort / Verlag

De Gruyter

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We focus on the stability analysis of two types of discrete dynamic models: a discrete dynamic equation and a discrete dynamics system consisting of two equations with mutualistic interaction given by and respectively, where , the constants , , and be the initial densities, finite rate of increase and the limiting constant associated with the density of the species, respectively, and , , and be the initial densities, finite rate of increase, and the limiting constant associated with the density of the mutually interacting species, respectively. , a positive integer represents a time delay in the system and shows a decay factor based on the sum of two past time step population densities. Our main objective is to understand the impact of mutualistic interactions on the stability of discrete dynamic systems. To illustrate the boundedness and stability of these models, we also provide animated plots and bifurcation diagrams.