The Role of Adaptation in Plankton System with Beddington-DeAngelis Type Functional Response

  • Nilesh Kumar ThakurEmail author
  • Archana Ojha
  • S. K. Tiwari
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)


In this paper two interacting species in presence of adaptation (dormancy of the predators such as resting eggs) has been discussed. The dormant stage is an equipment to survive in harsh environment. We have discussed the stability analysis of system without diffusion and in presence of diffusion. Our numerical investigation reveals that above the critical value of interference among the zooplankton the system become stable. Spatiotemporal pattern shows a transient complex spatiotemporal pattern by increasing the time and space.


Adaptation Dormancy Plankton Spatiotemporal pattern 



This research work is supported by Chhattisgarh Council of Science and Technology, India under grant no. 2238/CCOST/MRP/2015 to the corresponding author (Nilesh Kumar Thakur).


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Nilesh Kumar Thakur
    • 1
    Email author
  • Archana Ojha
    • 1
  • S. K. Tiwari
    • 2
  1. 1.Department of MathematicsNational Institute of Technology RaipurRaipurIndia
  2. 2.Department of MathematicsBIT SindriDhanbadIndia

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