Model and Simulations of a Wood Frog Population

Authors

  • Nofe Al-Asuoad Oakland University
  • Roumen Anguelov University of Pretoria
  • Keith Berven Oakland University
  • Meir Shillor Oakland University

DOI:

https://doi.org/10.11145/j.biomath.2012.09.032

Keywords:

population dynamics, compartmental model, Wood Frog, impulsive ODEs, simulations,

Abstract

This work presents and simulates a mathematical model В for the dynamics of a population of Wood Frogs. The model consists of a system of five coupled impulsive differential equations for the larvae, juveniles (early, middle, and late) and the mature adult populations. A simulation result depicts possible dynamics of the frogs' population when during one year the larvae population dies out. This provides a tool for the study of the resilience of the population and the conditions that may lead to its survival and flourishing or extinction.

Author Biographies

Nofe Al-Asuoad, Oakland University

Department of Mathematica ans Statistics

Roumen Anguelov, University of Pretoria

Department of Mathematics and and Applied Mathematics, Professor

Keith Berven, Oakland University

Department of Biological Sciences, Professor

Meir Shillor, Oakland University

Department of Mathematics and Statistics, Professor

Downloads

Published

2012-10-11

Issue

Section

Original Articles