The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach

Citation

Salahshour, Soheil and Ahmadian Hosseini, Syed Ali and Mahata, Animesh and Mondal, Sankar Prasad and Alam, Shariful (2018) The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach. International Journal of Applied and Computational Mathematics, 4 (62). 62 - 70. ISSN 2349-5103

Abstract

In this paper a fuzzy logistic equation with alley effect is introduced by considering some parameter as fuzzy numbers. Due to presence of the fuzzy number the corresponding differential equation in logistic equation model with alley effect becomes fuzzy differential equation. Considering generalized Hukuhara derivative approach the fuzzy logistic equation converted to system of two crisp differential equations. We obtain the conditions of stability criterion for different cases. Different numerical examples are given to support our work.

Download File

Text (Abstract)
The behavior of logistic equation with alley effect in fuzzy environment fuzzy differential equation approach.pdf
Download (8kB)

Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1007/s40819-018-0496-8
Publisher:	Springer Verlag
Keywords:	Logistic equation; Allee effect; Fuzzy differential equation; Fuzzy stability analysis
Depositing User:	Ms. Nida Hidayati Ghazali
Date Deposited:	26 Apr 2020 18:39
Last Modified:	26 Apr 2020 18:39
Altmetrics:	https://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s40819-018-0496-8
URI:	http://psasir.upm.edu.my/id/eprint/74115
Statistic Details:	View Download Statistic

Actions (login required)

View Item