A Stage-Structured Pest-Natural Enemy Dynamics with Holling Type-II Interaction and Maturation Delay for Pest Species

  • Vijay KumarEmail author
  • Joydip Dhar
  • Harbax S. Bhatti


In this paper, a pest-natural enemy dynamics with maturation delay for pest species is proposed. Here, pest is categorized into two stages, namely immature and mature and the natural enemy only harvest mature pest population with Holling type-II interaction. The boundedness and positivity of the solution of the system are presented. The asymptotic behavior of the system is studied and analyzed for all feasible equilibrium points. Sensitivity analysis of the system at interior equilibrium point for the system parameters is performed, and respective sensitive indices of the variables are identified. Finally, numerical simulations are presented to support our analytic results.


Stage-structured model Maturation delay Holling type-II Boundedness Positivity Sensitivity analysis 



I would like to thank the I.K.G.-Punjab Technical University, Kapurthala 144601, Punjab, India.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Inder Kumar Gujral-Punjab Technical UniversityKapurthalaIndia
  2. 2.Beant College of Engineering and TechnologyGurdaspurIndia
  3. 3.ABV-Indian Institute of Information Technology and ManagementGwaliorIndia
  4. 4.B.B.S.B. Engineering CollegeFatehgarh SahibIndia

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