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Oscillating dynamics of Lotka–Volterra neural networks with time-varying delays and distributed delays

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Abstract

This paper is concerned with the dynamical behaviors of doubly weighted Stepanov-like pseudo almost automorphic solution of Lotka–Volterra neural networks with time-varying delays and infinite distributed delays. Based on the Banach’s fixed point theorem, exponential dichotomy of linear differential equations, doubly weighted Stepanov-like pseudo almost automorphic functions theory and constructing a suitable Lyapunov functional, a set of sufficient criteria that guarantee the existence, uniqueness and \(S^p\)-globally exponential stability of unique positive \((\mu ,\nu )\)-Stepanov like pseudo almost automorphic solution are discussed. Moreover, numerical simulations are carried out to illustrate the validity of the theoretical results.

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  1. MACS Laboratory, Department of Mathematics, Faculty of Sciences, Moulay Ismaïl University, Meknes, Morocco

    Mohssine Es-saiydy & Mohamed Zitane

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  1. Mohssine Es-saiydy
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  2. Mohamed Zitane
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Correspondence to Mohssine Es-saiydy.

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Es-saiydy, M., Zitane, M. Oscillating dynamics of Lotka–Volterra neural networks with time-varying delays and distributed delays. Ricerche mat (2022). https://doi.org/10.1007/s11587-022-00746-w

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  • DOI: https://doi.org/10.1007/s11587-022-00746-w

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