Analysis of fractional order model on the employees' negative attitudes towards their workplace

被引:0
|
作者
Teklu, Shewafera Wondimagegnhu [1 ]
Mamo, Dejen Ketema [1 ]
机构
[1] Debre Berhan Univ, Coll Nat & Computat Sci, Dept Math, Debre Berhan, Ethiopia
来源
RESEARCH IN MATHEMATICS | 2024年 / 11卷 / 01期
关键词
employee; negative attitude; workplace; fractional order model; TRANSMISSION DYNAMICS; MATHEMATICAL-ANALYSIS;
D O I
10.1080/27684830.2024.2322044
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In most countries throughout the world, the negative attitude of employees toward their workplace is a major concern through government as well as non-government institutions. The main objective of this study is to construct and analyze a novel employee negative attitude towards their workplace dissemination fractional order model and investigate the impacts of protection and improvement (rehabilitation) strategies. The qualitative analyses of the proposed model proved the model solutions non-negativity as well as boundedness, computed the model negative attitude-free, as well as negative attitude persistence equilibrium points, proved the local stability of equilibrium points, it also proved that the existence of backward bifurcation whenever the associated effective reproduction number is less unity. Numerical simulations have been carried out to verify the qualitative results and investigate the parameter effects and solutions behavior. Eventually, from the qualitative and numerical results, we observed and recommended that an optimal effort to implement the protection and improvement (rehabilitation) strategies simultaneously is the best possible strategy to reduce employees' negative attitudes towards their workplace from the employees in the population under consideration.
引用
收藏
页数:15
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