Asian Journal of Mathematical Sciences(AJMS)

A CROSS SECTIONAL ANALYSIS OF MALARIA TRASMISSION AND HEALTH SERVICE NEEDS AMONG NOMADIC POPULATION IN TARABA STATE OF NIGERIA

Imam Akeyede — 2025-03-12

Malaria is endemic and a major cause of morbidity and death among nomads. Nomadic populations in Nigeria are more susceptible to malaria due to their way of living. They are often excluded from disease control programs because of their high degree of mobility, which makes it more difficult for them to get treatment and preventive measures. Care-seeking behavior patterns, local methods of transmission, and community perceptions of the disease are all taken into account by effective malaria control efforts. To effectively lower the disease burden among the nation's nomads, attention must be paid to the groups most at risk of contracting malaria and the ones least provided with access to basic medical care. The objective of this baseline study is to evaluate the prevalence of malaria and healthcare service needs among the nomadic people in Taraba State. Focus groups, key informant interviews, and household surveys are some of the techniques employed in this study. Incidence, prevalence, and distributions of LGAs with nomad settlements were noted. The acquired data were examined descriptively using percentages, tables, and charts. The findings demonstrate that malaria is a serious public health issue in nomadic groups due to high rates of transmission through environmental exposure, inadequate vector control methods, and restricted access to medical care. The primary risk factors that have been identified include limited access to healthcare and a lack of knowledge and preventive actions, such as bed net use and comprehension of malaria prevention. Improving healthcare services for these vulnerable groups was crucial to reducing the prevalence of malaria and improving overall health outcomes in Taraba State.

ALGEBRAIC SOLUTION OF FERMAT'S THEOREM (MATHEMATICS, NUMBER THEORY)

Khusid Mykhaylo — 2025-03-15

Fermat's Last Theorem (or Fermat's last theorem) is one of the most popular theorems in mathematics.
Formulated in French mathematician Pierre Fermat in 1637. Despite the simplicity of the formulation,
literally, at the “school” arithmetic level, proof of the theorem sought by many mathematicians for more
than three hundred years. And only in 1994 year the theorem was proven by the English mathematician
Andrew Wilson with colleagues; the proof was published in 1995. With this article, the author completes
his research on the given topic, makes corrections and eliminates the errors of the previous ones.

EXACT SOLUTION FOR TWO-DIMENSIONAL FLOW THROUGH CHANNELS WITH A PLANE PERMEABLE BOUNDARY BETWEEN TWO CHAMBERS WITH UNIFORM SUCTION/INJECTION

Igor Gaissinski — 2025-03-15

A one-dimensional model to determine the laminar ow of a fluid in a porous channel with wall suction or
injection is proposed. The approach is based on the integration of the Navier–Stokes equations using the
analytical solutions for the two-dimensional local velocity and pressure fields obtained from the
asymptotic developments at low filtration Reynolds number proposed by Berman [1] and Yuan and
Finkelstein [2]. It is noticeable that the resulting one-dimensional model preserves the whole ow
properties, in particular the inertial terms which can affect the wall suction conditions. The model is
validated in the case of a single porous channel of rectangular or circular cross-section with uniform or
variable wall suction. Then the model is applied to a two-dimensional multi-channel system which
consists of a great number of adjacent entrance and exit channels connected by a filter porous medium.
All existing models aren’t analytical, and need to use complex numerous calculations. The present model
is a first an attempt to reduce the problem to a simple analytical scheme based on Berman Similarity and
perturbation series solution method that allows it to be used by general engineers not using complex
mathematical methods.

ON THE ANALYSIS OF SOME THEORETIC GRAPH PROPERTIES OF THE INTERSECTION GRAPH OF Zn

A.M. Dogondaji — 2025-03-15

Abstract. This study investigates the structural properties of the Intersection Graph Γint(Zn) of the
subgroups of Zn, focusing on cases where n = p, n = pq, n = p2 (p, q primes), and n = 2k (k a natural
number). The research examines the connectedness of the graph. The results reveal unique properties of
Γint(Zn) for each case of connectedness. Notably, for n = 2k, the graph is regular, complete, and exhibits
rapid growth in size as k increases. This study provides a comprehensive understanding of the structural
properties of Γint(Zn) and contributes to the existing body of knowledge on graph theory and group theory.

BRAND IMAGE ANALYSIS OF ANDROID SMARTPHONES IN NIGERIA USING FACTOR ANALYSIS AND MULTINOMIAL REGRESSION TECHNIQUES

C.A. Awogbemi — 2025-03-15

Brand image encompasses consumers’ perceptions and associations with a brand that is pivotal in
shaping how individuals recognize and connect with products or services. This study explored the brand
image of Android Smartphones in Nigeria, emphasizing the role of brand perception in shaping customer
loyalty and purchasing decisions within a competitive market. A quantitative method is employed
through online data collection from a sample of 100 users of Android Smartphones in Nigeria by
considering a series of questions related to brand attributes. By analyzing user responses using factor
analysis technique, the attributes such as product quality, competitiveness, loyalty, innovation, design and
customer service support were identified as key dimensions of brand image. Multinomial regression
further revealed that brand perception demographic variables significantly influences consumer choices,
with Samsung being viewed as highly competitive and preferred by older age groups, while Infinix
showed varied loyalty among younger users. Techno, a leading brand, generally had a neutral perception
across demographic groups. These findings provide insights for Android brands to tailor their strategies,
foster positive customer perceptions, and strengthen market positioning in emerging economies.