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Continuous threshold harvesting in a gause-type predator-prey model with fractional-order.
- Source :
- AIP Conference Proceedings; 2020, Vol. 2264 Issue 1, p1-8, 8p
- Publication Year :
- 2020
-
Abstract
- Harvesting policy is an important issue in maintaining the existence of a population. This paper is focused on studying the effects of continuous predator threshold harvesting policy on the dynamical behavior of a fractional-order Gause-type predator-prey system. This policy is applied to ensure that harvesting does not occur when the population density is less than a specified threshold. The dynamical analysis is done to study the local stability of equilibrium points and the existence of Hopf bifurcation. By using a fractional-order predictor-corrector method, the numerical results are shown to illustrate the analytical result. [ABSTRACT FROM AUTHOR]
- Subjects :
- PREDATION
HOPF bifurcations
POPULATION density
HARVESTING
BASIC reproduction number
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2264
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 146006954
- Full Text :
- https://doi.org/10.1063/5.0023513