On discrete time Beverton-Holt population model with fuzzy environment

Math Biosci Eng. 2019 Feb 21;16(3):1471-1488. doi: 10.3934/mbe.2019071.

Abstract

In this work, dynamical behaviors of discrete time Beverton-Holt population model with fuzzy parameters are studied. It provides a flexible model to fit population data. For three different fuzzy parameters and fuzzy initial conditions, according to a generalization of division (g-division) of fuzzy number, it can represent dynamical behaviors including boundedness, global asymptotical stability and persistence of positive solution. Finally, two examples are given to demonstrate the effectiveness of the results obtained.

Keywords: Beverton-Holt population model; boundedness; fuzzy discrete system; global asymptotic behavior; persistence.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Animals
  • Computational Biology / methods*
  • Fuzzy Logic*
  • Models, Biological
  • Population Dynamics*
  • Probability
  • Reproduction