Product Detail

Some novel classes of predator-prey interaction with non-overlapping generations: stability, bifurcation, and chaos control

Product Details

A recent study on prey-predator (host-consumer) interaction shows that the effects of consumer (predator) dread can cause a sudden change in the host-consumer dynamics. Fear of consumers alters anti-predator defenses to a certain extent, and as a result it reduces prey (host) production. Low and high levels of fear play a key contribution in altering the dynamics of the host-consumer interaction. Low levels of fear yield bifurcating and fluctuating behaviors in a host-consumer interaction. One can easily observe that high levels of fear can be helpful for the stabilization of the host-consumer system. Keeping in view the non-overlapping generations, some novel discrete classes of host-consumer interaction incorporating fear effects on host population are studied. We discuss the qualitative analysis of the proposed models including the existence of biologically feasible steady-states, their stability analysis, period-doubling bifurcation (PDB) around boundary steady-state, Neimark-Sacker bifurcation (NSB) around interior (positive) steady-state (fixed point), and utilization of chaos control methods is also studied. In the end, theoretical discussions are validated with real observed field data of prey-predator interaction.

Product Images

  • File size: 509.73 KB
  • File size: 349.39 KB
  • File size: 477 KB


The information contained in this website is for general information purposes only. The information is provided by registered users and while we endeavour to keep the information up to date and correct, we make no representations or warranties of any... Click here

Copyright © 2021 OIC Technology and Innovation Portal. All Rights Reserved. Developed by COMSATS Internet Services