Abstract:

The datasets illustrate the dynamics for the discrete-time predator-prey model when the predator has two stages in its lifetime, namely, juvenile and adult. Figure-1 (datasets associated: fig-1-a-ex-2.txt, fig-1-a-ex-2.txt, and fig-1-a-ex-2.txt) in the associated manuscript (Ackleh et al., 2020) gives the time-series dynamics of the various outcomes (extinction, predator-free, coexistence states) of the model. These situations are described by example-2 in the manuscript. In addition, example-3 illustrates the qualitative change (bifurcation diagrams) in the dynamics of the prey and two stages of the predator densities as a function of adult predator survival probability. The outcome of these dynamics are given in figure-2 (datasets associated: fig-2-abc-ex-3.txt, fig-2-def-ex-3.txt, fig-2-ghi-ex-3.txt, and fig-2-jkl-ex-3.txt) in the manuscript which shows that the model may exhibit chaotic dynamics when the predator has stage-structure in the model while the unstructured predator and prey model did not show such behaviors in the model outcomes. This dataset supports the publication: Ackleh, A. S., Hossain, M. I., Veprauskas, A., & Zhang, A. (2020). Persistence of a Discrete-Time Predator-Prey Model with Stage-Structure in the Predator. Springer Proceedings in Mathematics & Statistics, 145–163. doi:10.1007/978-3-030-60107-2_6.

Suggested Citation:

Ackleh, Azmy S., Md Istiaq Hossain, Amy Veprauskas, and Aijun Zhang. 2021. Dataset for: Persistence of a Discrete-Time Predator-Prey Model with Stage-Structure in the Predator. Distributed by: GRIIDC, Harte Research Institute, Texas A&M University–Corpus Christi. doi:10.7266/4D5V2P5D

Publications:

ACKLEH, A. S., Hossain, M. I., Veprauskas, A., & Zhang, A. (2020). Persistence of a Discrete-Time Predator-Prey Model with Stage-Structure in the Predator. Springer Proceedings in Mathematics & Statistics, 145–163. doi:10.1007/978-3-030-60107-2_6

Purpose:

Generate future densities of structured predator and prey population demonstrating various dynamical scenarios with stage structure in the predator based on numerical simulation.

Data Parameters and Units:

T: time (representing hours, days, years, etc.), n(t): prey density (numbers of prey per unit area), p_1 (t): juvenile predator density (number of juvenile predators per unit area), p_2 (t): adult predator density (number of adult predators per unit area), s_2: adult predator survival probability. The dataset also includes the codes used to reproduce figures in the associated publication Ackleh et al., 2020.

Methods:

Dataset contains numerical simulation. For the detailed methods, please refer to the associated Ackleh et al., 2020.

Individual Files: