#### Journal of Mathematical Analysis and Modeling

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EISSN : 2709-5924
Total articles ≅ 31
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, O. O. Olanegan, O. S. Akinsola
Published: 21 March 2022
Journal of Mathematical Analysis and Modeling, Volume 3, pp 39-49; https://doi.org/10.48185/jmam.v3i1.448

Abstract:
Corruption is a slow poison damaging students and consequently societies and nations, virtually, all students of Nigerian tertiary institutions are exposed to corruption. In this study, an attempt is made to formulate the dynamics of corruption among students of Nigerian tertiary institutions. We describe mathematical modeling of corruption among students using an epidemiological compartment model. The population at risk of adopting corrupt ideology was divided into four compartments: S(t) is the susceptible class, E(t) is the Exposed class, C(t) is the Corrupted class and P(t) is the punished class. The positivity and boundedness of the model were established. The model possesses both corruption-free and endemic equilibrium. Likewise, the model exhibits threshold dynamics characterized by the basic reproduction number R0. The numerical implementation of the model reveals that corruption will persist among Nigeria students if the root cause were not eradicated.
Ancent M. Kimulu, Winifred N. Mutuku, Samuel M. Mwalili, David Malonza, Abayomi Samuel Oke
Published: 21 March 2022
Journal of Mathematical Analysis and Modeling, Volume 3, pp 50-59; https://doi.org/10.48185/jmam.v3i1.424

Abstract:
Kenya records over 1.5 million cases of HIV-infected people with a prevalence of 4.8% among adultsin 2019, ranking Kenya as the seventh-largest HIV population in the world. A recent study showed that55.9% of Kenyan truckers pay for sex in while 46.6% had a regular partner along their trucking route inaddition to a wife or girlfriend at home. The complexity in the sexual network of Truckers, which can be aconduit for the widespread of HIV, necessitated the need to better understand the dynamics of transmissionof HIV/AIDS between truckers and female sex workers. In this study, a model is formulated for HIV/AIDSdynamics along the Northern corridor highway in Kenya. The reproduction number, disease-free equilibriumand endemic equilibrium points were determined and their stabilities were also determined using the nextgenerationmatrix method. The disease-free equilibrium is stable when R0u < 1, R0c < 1 and R0f < 1 whilethe endemic equilibrium point is stable when R0u > 1, R0c > 1 and R0f > 1. It is found that circumcision canbe used as an intervention to minimize the infection of HIV among truckers and female sex workers.
, N. B. Okelo, Omolo Ong'Ati
Published: 21 March 2022
Journal of Mathematical Analysis and Modeling, Volume 3, pp 15-29; https://doi.org/10.48185/jmam.v3i1.441

Abstract:
Positive maps are essential in the description of quantum systems. However, characterization of the structure of the set of all positive maps is a challenge in mathematics and mathematical physics. We construct a linear positive map from M4 to M5 and state the conditions under which they are positive and completely positive (copositivity of positive).
, Hamid Khan, Abid Ali
Published: 21 March 2022
Journal of Mathematical Analysis and Modeling, Volume 3, pp 1-14; https://doi.org/10.48185/jmam.v3i1.386

Abstract:
In this paper we solve some fifth and sixth order boundary value problems (BVPs) by the improved residual power series method (IRPSM). IRPSM is a method that extends the residual power series method (RPSM) to (BVPs) without requiring exact solution. The presented method is capable to handle both linear and nonlinear boundary value problems (BVPs) effectively. The solutions provided by IRPSM are compared with the actual solution and with the existing solutions. The results demonstrate that the approach is extremely accurate and dependable.
Published: 21 March 2022
Journal of Mathematical Analysis and Modeling, Volume 3, pp 30-38; https://doi.org/10.48185/jmam.v3i1.332

Abstract:
Let $X$ be a topological space and $\Omega \subset X$. Suppose $f:\Omega\rightarrow X$ is a function defined in a complete space $\Omega$ and $\tau$ is a vector in $\mathbb{R}$ taking values in $X$. Suppose $f$ is ap-Sequential Henstock integrable with respect to $\tau$, is $f$ ap-Sequential Topological Henstock integrable with respect to $\tau$? It is the purpose of this paper to proffer affirmative answer to this question.
And Eiman, Zakir Ullah, Naib Ur Rahman, Farman Ullah
Published: 25 November 2021
Journal of Mathematical Analysis and Modeling, Volume 2, pp 21-28; https://doi.org/10.48185/jmam.v2i3.347

Abstract:
In this work, we investigate a modified population model of non-infected and infected (SI) compartmentsto predict the spread of the infectious disease COVID-19 in Pakistan. For Approximate solution, we use LaplaceAdomian Decomposition Method (LADM). With the help of the said technique, we develop an algorithmto compute series type solution to the proposed problem. We compute few terms approximate solutionscorresponding to different compartment. With the help of MATLAB, we also plot our approximate solutionsfor different compartment graphically.
, Norravich Limpanukorn, Muhammad Jamilu Ibrahim
Published: 25 November 2021
Journal of Mathematical Analysis and Modeling, Volume 2, pp 88-98; https://doi.org/10.48185/jmam.v2i3.421

Abstract:
In this paper, the authors introduced a novel definition based on Hilfer fractional derivative, which name $q$-Hilfer fractional derivative of variable order. And the uniqueness of solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order of the form \eqref{eq:varorderfrac} with $0 < \alpha(t) < 1$, $0 \leq \beta \leq 1$, and $0 < q < 1$ is studied. Moreover, an example is provided to demonstrate the result.
Published: 25 November 2021
Journal of Mathematical Analysis and Modeling, Volume 2, pp 41-61; https://doi.org/10.48185/jmam.v2i3.380

Abstract:
In this paper, we use a model of non-Newtonian second grade fluid which having three partial differentialequations of momentum, heat and mass transfer with initial condition and boundary condition. Wedevelop the modified Laplace transform of this model with fractional order generalized Caputo fractional operator.We find out the solutions for temperature, concentration and velocity fields by using modified Laplacetransform and investigated the impact of the order α and ρ on temperature, concentration and velocity fieldsrespectively. From the graphical results, we have seen that both the α and ρ have reverse effect on the fluidflow properties. In consequence, it is observed that flow properties of present model can be enhanced nearthe plate for smaller and larger values of ρ. Furthermore, we have compared the present results with theexisting literature for the validation and found that they are in good agreement.
D. S. A. Aashiqur Reza, Noman Billah, Sharmin Sultana Shanta
Published: 25 November 2021
Journal of Mathematical Analysis and Modeling, Volume 2, pp 77-87; https://doi.org/10.48185/jmam.v2i3.318

Abstract:
When a pandemic occurs, it can cost fatal damages to human life. Therefore, it is important to understand the dynamics of a global pandemic in order to find a way of prevention. This paper contains an empirical study regarding the dynamics of the current COVID-19 pandemic. We have formulated a dynamic model of COVID-19 pandemic by subdividing the total population into six different classes namely susceptible, asymptomatic, infected, recovered, quarantined, and vaccinated. The basic reproduction number corresponding to our model has been determined. Moreover, sensitivity analysis has been conducted to find the most important parameters which can be crucial in preventing the outbreak. Numerical simulations have been made to visualize the movement of population in different classes and specifically to see the effect of quarantine and vaccination processes. The findings from our model reveal that both vaccination and quarantine are important to curtail the spread of COVID-19 pandemic. The present study can be effective in public health sectors for minimizing the burden of any pandemic.