Event Title
Discrete Time Juvenile Adult Beverton Holt Type Model
Faculty Mentor
Youssef M. Dib; Mariette R. Maroun
Location
Memorial Gym
Start Date
20-4-2012 2:30 PM
End Date
20-4-2012 3:30 PM
Description
We propose a discrete time juvenile model where survivorship of juvenile stage to adult stage depends on the multiple of these two stages. This survivorship is of Beverton-Holt Type. Equilibria study, local asymptotic stability, and bifurcation analysis are studied depending on the net recruit number (R) of juvenile per life time of a single species of this model. It is also shown that this model depends on initial conditions. Numerical sensitivity study is also provided to show that solutions going through the saddle equilibrium may crash or stay positive depending on initial conditions as well when R > 1.
Discrete Time Juvenile Adult Beverton Holt Type Model
Memorial Gym
We propose a discrete time juvenile model where survivorship of juvenile stage to adult stage depends on the multiple of these two stages. This survivorship is of Beverton-Holt Type. Equilibria study, local asymptotic stability, and bifurcation analysis are studied depending on the net recruit number (R) of juvenile per life time of a single species of this model. It is also shown that this model depends on initial conditions. Numerical sensitivity study is also provided to show that solutions going through the saddle equilibrium may crash or stay positive depending on initial conditions as well when R > 1.
Comments
Poster presentation