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Recent Submissions
Fixed Point Theorems for Interpolative Ciri`c-Reich-Rus-Type Contraction Mappings in`b2-Metric Spaces
(Mbeya University of science and Technology, 2025) Wangwe Lucas
This paper introduces new fixed point theorems for Ciri` c-Reich-Rus-type contraction mappings in` b2-metric spaces. We provide an example to demonstrate the proven results. Finally, we apply the results to fractional differential equations. The fractional derivative as convolution serves numerous functions. It can represent memory, as in the elasticity hypothesis. The Caputo and Caputo-Fabrizio types can be understood as filters of the local derivative, having power and exponent functions.
Dynamical Analysis of Mpox Disease with Environmental Effects
(MDPI, 2025-05-29) Helikumi, Mlyashimbi; Ojija, Fredrick; Mhlanga, Adquate
In this study, we develop a fractional-order mathematical model for investigating
the transmission dynamics of monkeypox (Mpox), accounting for interactions between
humans, rodents, and environmental reservoirs. The model uniquely integrates two key
control strategies—public health awareness and environmental sanitation—often over-
looked in previous models. We analyze the model’s well-posedness by establishing the
existence, uniqueness, and positivity of solutions using the fixed-point theorem. Using data
from the Democratic Republic of Congo, we estimate the model parameters and demon-
strate that the fractional-order model (φ = 0.5) fits real-world data more accurately than its
integer-order counterpart (φ = 1). The sensitivity analysis using partial rank correlation
coefficients highlights the key drivers of disease spread. Numerical simulations reveal that
the memory effects inherent in fractional derivatives significantly influence the epidemic’s
trajectory. Importantly, our results show that increasing awareness (ε) and sanitation efforts
(η) can substantially reduce transmission, with sustained suppression of Mpox when both
parameters exceed 90%. These findings highlight the synergistic impact of behavioral and
environmental interventions in controlling emerging zoonotic diseases.
Fixed Point Theorem on CATp(0) Metric Spaces with Applications in Solving Matrix Equations and Fractional Differential Equations
(AIMS Press, 2025-05-15) Sajid ,Mohammad; Wangwe,Lucas; Kalita, Hemanta; Kumar, Santosh
This paper aimed to explore fixed point theorems for CMJ generalized mappings in CATp(0) metric spaces. To strengthen the established results, we presented a positive example. In applications, we found the existence of the solution to nonlinear matrix equations, and unique solutions of two scale fractal hybrid fractional differential equations in CATp(0).
GRAPEVNE - Graphical Analytical Pipeline Development Environment for Infectious Diseases
(Wellcome Open Research, 2025-05-29) Brittain, John-Stuart; Inward, Rhys; Mwanyika, Gaspary; Tegally, Houriiyah; Githinji, George; Tsui , Joseph; Gutierrez, Bernardo; Huynh, Tuyen; Kifle Tessema, Sofonias; McCrone, John T.; Bhatt, Samir; Dasgupta, Abhishek; Ratcliffe, Stephen; Kraemer, Moritz U.G.
The increase in volume and diversity of relevant data on infectious diseases and their drivers provides opportunities to generate new scientific insights that can support ‘real-time’ decision-making in public health across outbreak contexts and enhance pandemic preparedness. However, utilising the wide array of clinical, genomic, epidemiological, and spatial data collected globally is difficult due to differences in data preprocessing, data science capacity, and access to hardware and cloud resources. To facilitate large-scale and routine analyses of infectious disease data at the local level (i.e. without sharing data across borders), we developed GRAPEVNE (Graphical Analytical Pipeline Development Environment), a platform enabling the construction of modular pipelines designed for complex and repetitive data analysis workflows through an intuitive graphical interface
SANDC Technologies Company Limited - software developing company
(SANDC, 2024-04-26) Sweetbert David Stephano
Software Development company