The application of Mathematical models in simulating processes that are biological in nature has been in effect for a long time. A great number of Mathematical, Computational, Engineering and Physical approaches have been administered to several aspects of development of Tumor, w...
Open access
Research Article10.9734/jamcs/2023/v38i91802
This paper presents a strong generalization of Euclid’s famous result related to \(\sqrt{2}\) being an irrational number. In particular, based on the unique prime factorization of integer numbers we obtain very simple criteria which allow us to derive necessary and sufficient con...
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Research Article10.9734/jamcs/2023/v38i91801
In terms of public health, dengue fever continues to be an important issue. In recent years, there has been a sharp rise in dengue-related cases all throughout the world. The number of reported cases was consistently rising, especially in the cities of the Philippines. Time serie...
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Research Article10.9734/jamcs/2023/v38i91800
This paper presents a two-step Bernstein induced scheme for the numerical solution of some COVID-19 models. The scheme is developed via collocation and interpolation techniques invoked on Bernstein polynomials; the proposed scheme is consistent, between orders four and three. Thi...
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Research Article10.9734/jamcs/2023/v38i91799
SARS-CoV-2 is a serious problem in Kenya today. It has put an unprecedented burden on worldwide economy and public health. The rapid spread of SARS-CoV-2 has been driven predominantly by aerosol transmissions. The objectives of this study were to formulate mathematical models on...
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Research Article10.9734/jamcs/2023/v38i81797
In this paper, we assume the error distribution of one-way ANOVA as alpha-skew normal distribution. Alpha-skew normal distribution gives us exibility for modelling the data which has heavy tailness, skewness, bimodality and also symmetricity. We obtain the maximum likelihood esti...
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Research Article10.9734/jamcs/2023/v38i81798
In this present paper, we give a detailed study of a new generation of Bicomplex Jacobsthal matrix and Bicomplex Jacobsthal-Lucas matrix using Jacobsthal -matrix and Jacobsthal Lucas -matrix. Also presented some formulas, facts, and properties about these matrices. In addition, a...
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Research Article10.9734/jamcs/2023/v38i81795
Several approaches have been applied by different researchers to produce linear multistep methods (LMMs) for the solution of ordinary differential equations (ODEs). In this paper, some LMMs have been developed via the collocation and interpolation technique using the exponential...
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Research Article10.9734/jamcs/2023/v38i81796
Prime numbers represent one of the major open problems in number theory mostly in that at present it is not possible to state that the induction principle holds for them. The methodology of experimental mathematics has been little endeavored in this field thus the present report...
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Research Article10.9734/jamcs/2023/v38i81794
After explicitly observing the design criteria of two popular block ciphers, namely PRESENT and GIFT, we have proposed a new S-box that would be useful for designing a new light-weight block cipher, we name it as ULBC. The primary goal of the S-Box is to reduce the implementation...
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Research Article10.9734/jamcs/2023/v38i81793
Increased online use and allowing users to engage with groups such as digital networking have contributed to the growth of hacking. Online abuse is a new type of harassment that has lately become more prevalent as online communities have grown in popularity. It tends to send mess...
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Research Article10.9734/jamcs/2023/v38i81792
The advancement of the internet and social media, people has access to various platforms to freely share their thoughts and opinions on various topics. However, this freedom of expression is abused to incite hatred against individuals or groups of people based on race, religion,...
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Research Article10.9734/jamcs/2023/v38i81791
Let \(N=p^r q^s\) be prime power moduli where \(p\) and \(q\) are unbalance prime numbers for \(2 \leq s<r\). If \(q<p<\lambda q\) and \(q^s<p^r<\lambda q^s\), and \[ \phi(N) \approx \lambda^{\frac{r-s}{2 r}}\left(N^{\frac{r+s}{2 r}+N^{\frac{r+s-2}{2 r}}}\right)-N^...
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Research Article10.9734/jamcs/2023/v38i81788
The study of integer representations as a sum of powers is still a very long standing problem. In this work, the study of integer representation as a sum of cube is introduced and investigated for non-zero distinct integer solution. Let \(a_1\), \(a_2\), \(a_3\), ... , \(a_n\) a...
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Research Article10.9734/jamcs/2023/v38i81789
The technical details of RSA works on the idea that it is easy to generate the modulus by multiplying two sufficiently large prime numbers together, but factorizing that number back into the original prime numbers is extremely difficult. Suppose that \(N=p^r q^s\) are RSA modulus...
Open access
Research Article10.9734/jamcs/2023/v38i81790