Earthline Journal of Mathematical Sciences <p style="text-align: justify;">The Earthline Journal of Mathematical Sciences (E-ISSN: 2581-8147) is a peer-reviewed international journal devoted to publishing original research papers containing substantial contributions in any direction of Pure and Applied Mathematics, Theoretical and Applied Statistics, Theoretical Computer Science, Mathematical Modelling. Applications of Mathematics in Finance and Economics are also welcome.</p> en-US <p><img src=""><br>This work is licensed under a&nbsp;<a href="" rel="license">Creative Commons Attribution 4.0 International License</a>.</p> (Fabiola Malowney) (K. Jhansi Rani) OJS 60 Some Useful Results on Fuzzy Differential Subordination of Multivalent Functions Defined by Borel Distribution Series <p>In this work, we define and study some families of multivalent analytic functions defined by the fuzzy subordination and Borel distribution. We discuss some interesting inclusion results and various other useful properties involving integral of these families.</p> Bedaa Alawi Abd, Abbas Kareem Wanas Copyright (c) Wed, 14 Feb 2024 00:00:00 +0000 Age Structured Deterministic Model of Diphtheria Infection <p>Age-structured mathematical model of diphtheria infection has been formulated with specific epidemiological classes such as S<sub>1</sub>, susceptible infant at time t (0-1years), S<sub>2</sub>, susceptible school children population at time t, V, vaccination population at time t, E, exposed population at time t, I<sub>1</sub>, asymptomatic infection population at time t, I<sub>2</sub>, symptomatic infection population at time t, I<sub>D</sub>, detected infectious humans at time t (asymptomatic and symptomatic) population through testing, R, recovered population at time t. It was established through theorems and proofs that the model is epidemiologically meaningful, and that all its state variables are positive (non-negative) at time t&gt;0 in the domain ℘, and that the domain ℘ is indeed bounded. Using the next generation matrix, the reproduction ratio R<sub>b</sub> of the system was determined. Using dynamical system theory, it was established that the system is locally stable. A matrix-theoretic method was used in the construction of an appropriate Lyapunov function for the global stability analysis of the formulated model, and also established that the system is globally asymptotically stable if R<sub>b</sub>≤1 and unstable otherwise.</p> Ekere Sunday Udofia, Ubong Dominic Akpan, Joy Ijeoma Uwakwe, Henry Sylvester Thomas Copyright (c) Fri, 16 Feb 2024 00:00:00 +0000 Two Families of m-fold Symmetric Bi-univalent Functions Involving a Linear Combination of Bazilevic Starlike and Convex Functions <p>In the present paper, we define two new families $K M_{\Sigma_m}(\lambda, \gamma, \delta ; \alpha)$ and $K M_{\Sigma_m}^*(\lambda, \gamma, \delta ; \beta)$ of holomorphic and m-fold symmetric bi-univalent functions associated with the Bazilevic starlike and convex functions in the open unit disk U. We find upper bounds for the first two Taylor-Maclaurin $\left|a_{m+1}\right|$ and $\left|a_{2 m+1}\right|$ for functions in these families. Further, we point out several special cases for our results.</p> Samer Chyad Khachi, Abbas Kareem Wanas Copyright (c) Tue, 20 Feb 2024 00:00:00 +0000