Stabilization of chaos in an eco-eoidemiological model with allee effect in the prey population

Qamar Khan, Anuraj Singh, Krishna Pada Das*, Binayak Nath, Somnath Mati

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this work we investigate a tri-trophic food chain model in presence of week Allee effect in the prey population. At first, we observe the dynamics of our model system for variation of half-saturation constant b1 and investigate the nonlinear phenomena such as stable focus, limit cycle oscillation, period doubling and finally chaos. Then we have tried to control the chaotic dynamics of the original system by introducing the weak Allee effect in the prey species. We have also derived the criteria for local stability and instability of model system around the biological feasible equilibria. We have discussed the different conditions for the coexistence of equilibrium solutions. We have noticed that chaotic dynamics can be prevented by introducing weak Allee effect.
Original languageEnglish
Pages (from-to)689-703
Number of pages15
JournalNonlinear Studies
Issue number2
Publication statusPublished - May 23 2021


  • Food chain, Weal Allee,Persistence, Chaos, Period-doubling, Hopf Bifurcation

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

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