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Controlling Chaos Generated in Predator-Prey Interactions Using Adaptive Hybrid Combination Synchronization

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Proceedings of 3rd International Conference on Computing Informatics and Networks

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 167))

Abstract

In this research work, we study hybrid combination synchronization (HCS) between chaotic generalized three species Lotka-Volterra (GLV) biological system via adaptive control technique (ACT). Lotka and Volterra discovered the well-known illustrations of primary biological models. This system details the interaction between two species predator and prey. Though it is a very primary model, it has many drawbacks, for example, it avoids several essential characteristics, for instance, interplaying among numerous species of similar ecological community, connectivity with the ecosystem etc. Samardzija and Greller firstly investigated the dynamics and chaotic behavior of GLV biological system in 1988. Subsequently, the area of biological control for numerous biological systems existing in natural habitat has been a significant field for researchers and biologists. We here consider two predators and one prey population present in the system. The adaptive ecological control law in obtaining asymptotic HCS of state variables (SV) of considered system with uncertain parameters has been deduced utilizing Lyapunov stability theory (LST). Further, it is noticed that both anti-synchronization and complete synchronization coexist in HCS. Additionally, numerical simulations using MATLAB are displayed for illustrating the feasibility and efficiency of discussed approach. Remarkably, analytical and computational results agree excellently. The discussed approach is potentially applicable in areas of secure communication, encryption and control theory.

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Authors and Affiliations

  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, Delhi, India

    Taqseer Khan & Harindri Chaudhary

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  1. Taqseer Khan
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  2. Harindri Chaudhary
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Correspondence to Harindri Chaudhary .

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Editors and Affiliations

  1. Scientific Network for Innovation and Research Excellence, Machine Intelligence Research Labs (MIR Labs), Auburn, WA, USA

    Ajith Abraham

  2. Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  3. Bhagwan Parshuram Institute of Technology, New Delhi, India

    Deepali Virmani

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Khan, T., Chaudhary, H. (2021). Controlling Chaos Generated in Predator-Prey Interactions Using Adaptive Hybrid Combination Synchronization. In: Abraham, A., Castillo, O., Virmani, D. (eds) Proceedings of 3rd International Conference on Computing Informatics and Networks. Lecture Notes in Networks and Systems, vol 167. Springer, Singapore. https://doi.org/10.1007/978-981-15-9712-1_38

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  • DOI: https://doi.org/10.1007/978-981-15-9712-1_38

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-9711-4

  • Online ISBN: 978-981-15-9712-1

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