A Ricker–type predator–prey system with hunting cooperation in discrete time

Yen hsi Chou, Yunshyong Chow, Xiaochuan Hu, Sophia R.J. Jang

Research output: Contribution to journalArticlepeer-review


A predator–prey system in discrete-time for which the predators engage in cooperative hunting and the prey population is subject to scramble intra-specific competition is developed and analyzed. We prove that the number of positive equilibrium points depends not only on the predator's basic reproduction number but also on the intensity of predator cooperation. The model exhibits a discrete Hopf bifurcation when the unique positive equilibrium point loses its stability. Two-parameter bifurcation diagrams using MATLAB conclude that hunting cooperation can increase the likelihood of predator persistence but may destabilize the predator–prey interaction and drive the predator to extinction.

Original languageEnglish
Pages (from-to)570-586
Number of pages17
JournalMathematics and Computers in Simulation
StatePublished - Dec 2021


  • Discrete Hopf bifurcation
  • Discrete predator–prey system
  • Hunting cooperation
  • Scramble competition


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