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Modelling and Analysis of Predation System with Nonlocal and Nonsingular Operator

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Mathematical Modelling in Health, Social and Applied Sciences

Part of the book series: Forum for Interdisciplinary Mathematics ((FFIM))

Abstract

A novel system of predation involving two individuals or species which interact in a nonlinear fashion is modelled with the Atangana-Baleanu fractional derivative of order \(0<\gamma <1\) in the sense of Caputo. This derivative has been used to model some important real-life phenomena such as heat flow, fractals, diffusion and groundwater flows, among many others. The local and global stability analysis of such model is given to enable us to accurately provide a good choice of parameters when numerically simulating the full process. Some numerical results for different instances of fractional power are given in one and two dimensions.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Kolade M. Owolabi

  2. Department of Mathematics, Gauhati University, Guwahati, 781014, India

    Hemen Dutta

Authors
  1. Kolade M. Owolabi
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  2. Hemen Dutta
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Correspondence to Kolade M. Owolabi .

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Editors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

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Owolabi, K.M., Dutta, H. (2020). Modelling and Analysis of Predation System with Nonlocal and Nonsingular Operator. In: Dutta, H. (eds) Mathematical Modelling in Health, Social and Applied Sciences. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-15-2286-4_8

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