Journal of Mathematical Analysis and Modeling

Mathematical Model for Malaria Disease Transmission

2023-01-21T17:08:50+00:00

Malaria is one of the fatal diseases caused by plasmodium parasites and transmitted to humans through biting of the female of {\it Anopheles} mosquitoes. We proposed a deterministic mathematical model for simulating Malaria disease transmission between humans and mosquitoes. The basic reproduction number $\mathcal{R}_{0}$ is determined by using the next-generation matrix approach. Stability conditions for the model equilibrium points with respect to $\mathcal{R}_{0}$ derived and we show that the forward bifurcation occurred. When $\mathcal{R}_{0} <1$ or $\mathcal{R}_{0} >1$ the Malaria disease dies out or spreads, respectively. The sensitivity analysis for the basic reproduction number $\mathcal{R}_{0}$ fulfilled locally and globally. The model simulation was found by using Runge--Kutta fourth order method in MATLAB. Furthermore, The effects of the important parameters were investigated, and the obtained results were presented in graphical forms. Also, we obtained that the simulation results agree with the stability analysis for $E_{def}$. We discussed the impacts of the Malaria disease control interventions on the important parameter for Malaria disease transmission. Recommendation for control and eradicating Malaria disease transmission provided.

Parametric Poisson Bifurcated Autoregressive Process: Application to Worldwide, Regional, and Peculiar Countries’ of Automobile Production

2023-05-27T16:09:51+00:00

This article introduces Bifurcated Autoregressive (BAR) process with two apart marginal distribution error terms of w₂ and w₂₊₁ of Poisson white noises to make it Poisson Bifurcated Autoregressive (PBAR) in a parametric setting. The statistical definition of PBAR (1) process with parameters B₁ and B₂ that must be |B₁ | and |B₂ |<1 for stationary process was spelt-out. Weighted Least Squares (WLS) parameter estimation technique was adopted and the process limiting distribution was carried-out via the combination methods of martingale process and Lindeberg’s condition. Monthly automobile production in Japan, Outside Japan, America, USA, Europe, Asia, and China that approximately tantamount to worldwide, regional, and peculiar countries’ of automobile production was subjected to the PBAR process. In conclusion, Japan automobile production possessed the highest and largest error correlation (w₂ , w₂₊₁ ) of 0.6582 (65%) with first order PBAR, with B₁Y_(t/2), such that B₁=0.2228 of degenerated two major divisions of automobile production of Registrations and Mini-Vehicles with descendant of different brands (models).

Mathematical Models on Forest Logging and Carbon sequestration

2022-12-21T05:16:56+00:00

Abstract. In this article, we analyze the relationship between carbon sequestration and the time of the forest and its products, and discuss which forest management plan is most effective in sequestering carbon dioxide. We show that moderate logging in forest management plans is a good decision. As long as the ratio between the two is balanced, appropriate logging can renew and rejuvenate forests, creating ecological and specific economic and social values.

On Orthogonality of Elementary Operators in Normed Spaces

2023-06-24T20:59:27+00:00

In this note, we give a detailed survey on characterization of orthogonality of elementary operators in
normed spaces. In particular, we consider these operators when they are finite and unveil new conditions
which are necessary and sufficient for their orthogonality. Lastly, we characterize Birkhoff-James orthogonal-
ity for this class of operators.

Stability Analysis of a Sterile Insect Technique Model for Controlling False Codling Moth

2023-02-26T18:01:49+00:00

Sterile insect techniques (SIT) are biological, non-polluting pest control methods used on farms. The release of false male codling moths (FCM) is used in this method to reduce the number of fertile female FCM in the farm population. In this study, a mathematical model that simulates the interaction between the susceptible host, the sterile male FCM population, and the wild
FCM population is developed. The local and global stability analysis of the model is analysed and found to be asymptotically stable when Ro < 1. A threshold number of sterile FCM is determined above which the FCM control is effective. These theoretical results are reorganized in terms of possible strategies for the control of FCM and are numerically illustrated.

Common Fixed Point Theorems In Anti Fuzzy Metric Spaces

2023-04-26T11:58:40+00:00

This article introduces the innovative concept of anti-fuzzy metric spaces and utilizes the property (E.A.) and Common limit range property of $\mathfrak{Q}$, we demonstrate the existence and uniqueness of a common fixed point in symmetric anti fuzzy metric spaces in this study. We discuss some novel ideas for a few mappings named R-weakly commuting of type $(\mathfrak{\mathfrak{J_P}})$ and weakly commuting of type $(\mathfrak{\mathfrak{J_P}})$ on an anti fuzzy metric space.