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TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES (TIRES)
Published by Transpublika Publisher
ISSN : -     EISSN : 28285921     DOI : https://doi.org/10.55047/tires
Core Subject : Science, Education, Engineering,
Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Mathematics Physics
TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES (TIRES) Is An open-access Peer Reviewed Interdisciplinary Journal With The Scope Of Sciences (Physics, Mathematics, Biostatics, Chemistry, Biology, Medical, Pharmaceutical Sciences, Engineering, Etc.) All Submitted Papers Should Describe Original, Innovatory Research, And Modelling Research Indicating Their Basic Idea For Potential Applications. The Journal Particularly Welcomes Submissions That Focus On The Progress In The Field Of Chemistry, Physics, Mathematics, Biology And Pharmaceutical Sciences And Data Analysis. The TIRES journal is dedicated towards dissemination of knowledge related to the advancement in scientific research. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal. Under the realm of science and technology, the coverage includes environmental science, pure and applied mathematics, agricultural research and engineering, biology, biotechnology, bioinformatics, Healthcare sciences (including clinical medicine, preventive medicine & public health), physics, biophysics, computer science, chemistry and bioengineering, to name a few.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 5 Documents
 1 
Search results for , issue "Vol. 3 No. 4 (2024): OCTOBER" : 5 Documents clear
MATHEMATICAL ASSESSMENT AND STABILITY ANALYSIS OF HIV/AIDS EPIDEMIC MODEL WITH VERTICAL TRANSMISSION AND TREATMENT Adepoju, Okunloye Ayinde; Ibrahim, Hammed; Salahu, Wasiu Omotayo
TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES Vol. 3 No. 4 (2024): OCTOBER
Publisher : Transpublika Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55047/tires.v3i4.1424

Abstract

This study presents a mathematical assessment of the dynamics of HIV/AIDS epidemic with vertical transmission and treatment. The well-posedness is analyzed using the theories of positivity and boundedness. Using the next generation matrix approach, the model’s basic reproduction number was obtained. The findings from the analysis also revealed that the model possesses two equilibrium points, the locally stable HIV/AIDS free equilibrium when the threshold parameter is less than unity and endemic equilibrium when R0 > 1. The impact of the parameters associated to the basic reproduction number R0 is investigated using the normalized forward sensitivity index. Furthermore, the model is expanded to incorporate time-dependent antiretroviral treatment and the use of condom. The model’s qualitative analysis is supported by numerical simulation.
DIVERSITY OF AQUATIC INSECTS AS AN INDICATOR OF WATER CLEANLINESS IN THE CIRAHAB SERANG-BANTEN WATER SOURCES AREA Hermawan, Hermawan
TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES Vol. 3 No. 4 (2024): OCTOBER
Publisher : Transpublika Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55047/tires.v3i4.1405

Abstract

This research was carried out in the Cirahab water source area located in Curuggoong Village, Padarincang District, Serang-Banten Regency. This research aims to determine the diversity of insects as an indicator of the cleanliness of the Cirahab source water which is widely used by local communities for bathing, washing and other needs. which of course can affect the existence of these freshwater insects. Hence, the insect samples collected use various equipment, such as buckets, trays, insect tissue, which are taken from the Cirahab water source. The calculation method used is by referring to the formula from Shannon Wiener. The results of calculating the diversity index value obtained a result of 2.63566, this result shows a "Medium" result. Apart from that, there are measurements of water cleanliness, including temperature with a value of 24 mg/l, TDS 45 mg/l, BOD 0.93 mg/l, COD 90,321 mg/l, DO 50 mg/l and water flow of 0.20 m/s.
MATHEMATICAL ANALYSIS OF RUBELLA DISEASE DYNAMICS: THE ROLE OF VERTICAL TRANSMISSION AND VACCINATION Adewale, Sunday Olumuyiwa; Oluyo , Temitayo Olabisi; Olaitan, Lawal Wasiu; Oladejo, Janet Kikelomo
TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES Vol. 3 No. 4 (2024): OCTOBER
Publisher : Transpublika Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55047/tires.v3i4.1455

Abstract

Rubella known as German measles constitutes a significant threat to global health, as every individual in the human population is vulnerable to its highly contagious and severe effects. The risk of congenital rubella syndrome is significantly elevated when pregnant women contract the virus, transmitting it to the fetus. This research develops and examines a mathematical framework to simulate rubella's transmission patterns. The model categorizes the population into seven distinct compartments: Susceptible individuals S(t), Vaccinated individuals V(t), Persons with lifelong immunity after receiving a second vaccine dose P(t), Infected individuals I(t), Treated individuals T(t), Recovered individuals R(t). A detailed examination of the model's qualitative features is presented, the formulated model was shown to have non-negative solutions in feasible regions of human population. Furthermore, the model has a stable disease-free equilibrium if the basic reproduction number  is less than unity, unstable otherwise. Computational experiments were performed using MATLAB R2013a to examine the effects of critical parameters on rubella transmission, yielding insightful graphical representations. Simulation studies revealed that reducing contact and vertical transmission rates, while increasing recovery rates, vaccination rates (first and second doses), and maternal immunization, are vital for mitigating rubella's impact in the population.
EXISTENCE AND OPTIMAL CONTROL ANALYSIS OF HIV/AIDS MODEL Odebiyi, O. A.; Oladejo, J. K.; Oluyo, T. O.; Omotayo, Salahu W.
TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES Vol. 3 No. 4 (2024): OCTOBER
Publisher : Transpublika Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55047/tires.v3i4.1493

Abstract

Human Immunodeficiency Virus/ Acquired Immune Deficiency Syndrome (HIV/AIDS) stands as a paramount global health concern, being both a prevalent sexually transmitted disease and one of the most catastrophic epidemics ever recorded, with profound impacts on human health. This study revisits the theme of Odebiyi et al. The study presents a mathematical model describing HIV/AIDS transmission dynamics, incorporating optimal control strategies for public sensitization and the use of antiretroviral treatment thereby providing new insight to their work. Analytical results via optimal control theory confirm the existence of optimal solutions. Numerical Simulation results illustrate the efficacy of public sensitization and treatment in controlling HIV/AIDS. The combined implementation of these control measures yields significant reductions in HIV transmission. The analysis underscores the importance of multi-faceted HIV control strategies. Our findings are expected to inform policymakers in developing targeted interventions, optimizing resource allocation, and enhancing the impact of HIV control programs.
COEFFICIENT INEQUALITIES OF A GENERALISED DISTRIBUTION ASSOCIATED WITH A GENERALIZED KOEBE FUNCTION Adeyemo, Olushola; Gbabgbala, Sayo Abidemi
TRANSPUBLIKA INTERNATIONAL RESEARCH IN EXACT SCIENCES Vol. 3 No. 4 (2024): OCTOBER
Publisher : Transpublika Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55047/tires.v3i4.1510

Abstract

This study aims to explore the geometric properties of the generalized probability distribution associated with the generalized Koebe function. The inequality coefficients in the convoluted power series are evaluated using Chebyshev polynomials, with a focus on determining bounds on the initial coefficients. This research employs a mathematical-theoretic approach utilizing algebraic manipulations, theorem proving, and analytical techniques such as subordination and Hadamard products. Few conditions were set on some variables which yields certain corollaries. The results suggest that the analyzed functions have properties that are applicable in modeling complex data, allowing the description of non-normal, asymmetric, or heavy-tailed probability distributions. These findings corroborate the relevance of generalized distributions in dealing with uncertainty and variability in statistical data. Based on the existing works, the results obtained in this work are just derived. In conclusion, this study contributes to understanding the geometric relationships of generalized probability distributions. The practical implications of these findings include applications in the analysis of complex statistical data and modeling of real-world phenomena that require non-conventional distributions.

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