Modelling Miraa Addiction like a Disease Incorporating Voluntary Quitting

George, Makembo; Karanja, Stephen; Theuri, David Mwangi

doi:10.9734/jamcs/2017/35953

Cited by 2 publications

(4 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…George et al [34] construct a deterministic model of miraa addiction based on three compartment classes: susceptible (S), light users (L), and addicted (A). The fundamental reproduction number (R 0 ) was determined, the positivity and boundedness of the solution were studied, and it was discovered that the system of equations is within the feasible range.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by the works of George et al [34] and Wubneh et al [6], in this study, we proposed a nonlinear deterministic model to study and analyze the dynamics of chewing khat. Moreover, we subdivides the total population into susceptible SðtÞ, moderate EðtÞ, addicted IðtÞ, and quitter RðtÞ classes in which taking into account that moderate khat chewers and addicted can be joined to quitting class due to addressing the risk groups by building self-efficacy and peer resistance skills among the young khat chewers and involvement of religious institution.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis

Fantaye

Birhanu

2022

Journal of Applied Mathematics

View full text Add to dashboard Cite

In this study, the authors proposed a nonlinear deterministic model and stability analysis for the transmission dynamics of chewing khat. The model’s solution is proved to be positive and bounded, and the basic reproduction number ( R 0 ) is calculated using the next-generation matrix method. Following that, the authors have looked at the local and global stability of the model’s khat-free and endemic equilibrium points. When R 0 < 1 , the chewing khat-free equilibrium point is locally and globally asymptotically stable, whereas when R 0 > 1 , the endemic equilibrium point is locally and globally asymptotically stable. The simulation results demonstrate the analytical results.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis

Fantaye

Birhanu

2022

Journal of Applied Mathematics

View full text Add to dashboard Cite

show abstract

“…Khat is also known as the "Leaf of Allah," [3] and others express it as a" flower of paradise" [4]. Khat (Catha Edulis) is a wild green leaf and greenish plant that grows commercially in East Africa and the Arabian Peninsula whose branches and leaves are chewed to release liquids having the active chemicals cathinone and cathine, which alter the user's mood [4,5]. Chewing Khat has a long history dating back to the early 14 th century and is commonly used for social and spiritual purposes [6].…”

Section: Introductionmentioning

confidence: 99%

“…Makembo, Karandzha, and David [5] developed a mathematical model of Khat (Miraa) chewing, by dividing the entire population into three parts: the number of susceptible persons S(t), the number of light users L(t), and the number of addicts A(t), and they used the SIS compartment model.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling and Analysis of Khat-Chewing Dynamics

Wubneh

Desta

Amsalu

2021

Journal of Mathematics

View full text Add to dashboard Cite

Khat is a green leaf and greenish plant where its branches and leaves are chewed to discharge liquid having active chemicals that change the user’s mood. The purpose of this article is to develop and analyze a mathematical model that can be used to understand the dynamics of chewing Khat. The proposed model monitors the dynamics of five compartments, namely, a group of people who do not chew Khat, designated as N t ; a group of people who are surrounded by Khat chewers but do not chew at present and may chew Khat in the future, denoted this as Σ t ; a group of people who chew Khat, which is represented in C t ; a group of people contains individuals who consumed Khat quite temporarily for social, spiritual, and recreational purposes, and we describe this group in T t ; and a group of people those who constantly chew Khat, and they are denoted by H t . We determined the Khat chewing generation number R c 0 using the next-generation matrix method, and we have examined the biological meaningfulness, mathematical wellposedness, and stability of both Khat chewing-free and Khat chewing-present equilibrium points of the model analytically. Numerical simulations were presented by solving our dynamical system using Matlabode45 to check the analytical results by considering parameter estimations. The results of this study show that, for R c 0 = .00039 , the Khat chewing-free equilibrium point is stable, and it is unstable for R c 0 = 1.194 , and the Khat chewing-present equilibrium point is stable if R c 0 = 1.194 , and it is unstable if R c 0 = .00039 . The stability of both equilibrium points implies that, for a high rate of conversion from non-Khat chewer to exposed groups ρ , the inflow of an insignificant number of Khat chewers to the community produces a significant number of Khat chewers , and if the return back from Khat chewing to the exposed group because of socio-economic, environmental, and religious influences α 2 grows exponentially, the inflow of an insignificant number of Khat chewers to the community produces an insignificant number of Khat chewers. It is found that increasing the rate of conversion from non-Khat chewer to exposed groups ρ makes the disease eradication more challenging. We, therefore, strongly urge religious leaders, social committee leaders, elders, and health experts to teach their followers to reduce their Khat-chewing habits.

show abstract

Modelling Miraa Addiction like a Disease Incorporating Voluntary Quitting

Cited by 2 publications

References 0 publications

Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis

Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis

Mathematical Modeling and Analysis of Khat-Chewing Dynamics

Contact Info

Product

Resources

About