A Theoretical Model of Corruption Using Modified Lotka Volterra Model: A Perspective of Interactions between  Staff and Students

Kawira, Mercy; Ngari, Cyrus Gitonga; Karanja, Stephen

doi:10.9734/jamcs/2020/v35i730299

Cited by 1 publication

(2 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Lotka-Volterra model can be used to show the competitive relationship between organisms, companies, markets, or organizations [12][13][14][15][16][17][18][19]. Tus, this study considers it as also much applicable in schools' population competition.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modelling and Simulation of Competition for Students’ Population with Holling Type II Response

Odhiambo

Ngari

Kimani

et al. 2023

Journal of Mathematics

View full text Add to dashboard Cite

The increase in the country’s population attracted the establishment of more schools, both public and private schools, to cater for the increasing number of students. However, there have been dynamics of students’ population both in public and private schools through transfer from one category of school to the other, through completion of the learning period, and through dropout due to unknown reasons which have subjected both the public and private schools to compete in order to maintain a good number of students. In this work, a modified Lotka–Volterra model of schools and nonenrolled entities population in the education system is studied. Private schools and nonenrolled entities play the role of a predator in public schools. Again, public schools and nonenrolled entities play the role of predators in private schools. Holling type II functional responses have been integrated in the analysis of the Lotka–Volterra model. The equilibrium points are established and their stability are determined using the Routh–Hurwitz criterion and eigenvalue method. Global stability has been done for the positive equilibrium point. Bifurcation is also done around the positive equilibrium point. Finally, a graphical illustration of various parameter is derived to show their effect on schools when they are varied. It is revealed that the increase in parameters θ 2 , θ 3 , and η 3 greatly affects the schools population as they are the ones leading to predation in school. Therefore, proper strategies should be developed to focus on reducing the mentioned parameters to avoid leading schools’ population to extinct.

show abstract

Section: Introductionmentioning

confidence: 99%

“…Te main purpose of modelling population interactions is to understand what causes such fuctuations [6]. Tis is only possible when the parameters of the model are varied [1,19]. Tis study is helpful to the country for future population prediction [20].…”

Section: Introductionmentioning

confidence: 99%