Turing Patterns in a Cross Diffusive System

  • Nishith Mohan
  • Nitu KumariEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 307)


In this paper we investigate the role of cross diffusion in pattern formation for a tritrophic food chain model. In the formulated model the prey interacts with the mid level predator in accordance with Holling Type II functional response and the mid and top level predator interact via Crowley Martin functional response. We have proved that the stationary uniform solution of the system is stable in the presence of diffusion and absence of cross diffusion but unstable in the presence of cross diffusion. Moreover we carry out numerical simulations to understand the Turing pattern formation for various self and cross diffusivity coefficients of the top level predator.



This work has further been extended and published in [24].


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.School of Basic SciencesIndian Institute of Technology MandiMandiIndia

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