Article Dans Une Revue Journal of Advances in Mathematics and Computer Science  Année : 2023

Linear Stability Analysis of a Delay Differential Integral Equation Motivated by Genetic Networks

Résumé

This work presents a computational study on the linear stability analysis of a genetic network with time delay. The network is modeled as a continuous system and takes the form of a nonlinear delay differential integral equation coupled to an ordinary differential equation. Analysis of the stable equilibria shows the existence of a critical time delay beyond which limit cycle oscillations are born in a Hopf bifurcation. We confirm our results by discretizing the continuous model into an N-dimensional system and showing that the associated critical time delays for the discrete system approach the critical time delay for the continuous system as N becomes large.

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Dates et versions

hal-05154328 , version 1 (09-07-2025)

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  • HAL Id : hal-05154328 , version 1

Citer

Anael Verdugo. Linear Stability Analysis of a Delay Differential Integral Equation Motivated by Genetic Networks. Journal of Advances in Mathematics and Computer Science , 2023, 38 (9), pp.207-220. ⟨hal-05154328⟩
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