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Diffusive instability in a prey-predator system with time-dependent diffusivity

Author

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  • Rakhi Bhattacharyya
  • Banibrata Mukhopadhyay
  • Malay Bandyopadhyay

Abstract

An ecological model for prey-predator planktonic species has been considered, in which the growth of prey has been assumed to follow a Holling type II function. The model consists of two reaction-diffusion equations and we extend it to time-varying diffusivity for plankton population. A comparative study of local stability in case of constant diffusivity and time varying diffusivity has been performed. It has been found that the system would be more stable with time varying diffusivity depending upon the values of system parameter.

Suggested Citation

  • Rakhi Bhattacharyya & Banibrata Mukhopadhyay & Malay Bandyopadhyay, 2003. "Diffusive instability in a prey-predator system with time-dependent diffusivity," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:837386
    DOI: 10.1155/S0161171203207274
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    Cited by:

    1. Bhunia, Bidhan & Ghorai, Santu & Kar, Tapan Kumar & Biswas, Samir & Bhutia, Lakpa Thendup & Debnath, Papiya, 2023. "A study of a spatiotemporal delayed predator–prey model with prey harvesting: Constant and periodic diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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