TY - JOUR
T1 - Mathematical analysis and numerical simulations of the piecewise dynamics model of Malaria transmission
T2 - A case study in Yemen
AU - Aldwoah, K. A.
AU - Almalahi, Mohammed A.
AU - Abdulwasaa, Mansour A.
AU - Shah, Kamal
AU - Kawale, Sunil V.
AU - Awadalla, Muath
AU - Alahmadi, Jihan
N1 - Publisher Copyright:
© 2023 AIMS Mathematics. All rights reserved.
PY - 2024
Y1 - 2024
N2 - This study presents a mathematical model capturing Malaria transmission dynamics in Yemen, incorporating a social hierarchy structure. Piecewise Caputo-Fabrizio derivatives are utilized to effectively capture intricate dynamics, discontinuities, and different behaviors. Statistical data from 2000 to 2021 is collected and analyzed, providing predictions for Malaria cases in Yemen from 2022 to 2024 using Eviews and Autoregressive Integrated Moving Average models. The model investigates the crossover effect by dividing the study interval into two subintervals, establishing existence, uniqueness, positivity, and boundedness of solutions through fixed-point techniques and fractional-order properties of the Laplace transformation. The basic reproduction number is computed using a next-generation technique, and numerical solutions are obtained using the Adams-Bashforth method. The results are comprehensively discussed through graphs. The obtained results can help us to better control and predict the spread of the disease.
AB - This study presents a mathematical model capturing Malaria transmission dynamics in Yemen, incorporating a social hierarchy structure. Piecewise Caputo-Fabrizio derivatives are utilized to effectively capture intricate dynamics, discontinuities, and different behaviors. Statistical data from 2000 to 2021 is collected and analyzed, providing predictions for Malaria cases in Yemen from 2022 to 2024 using Eviews and Autoregressive Integrated Moving Average models. The model investigates the crossover effect by dividing the study interval into two subintervals, establishing existence, uniqueness, positivity, and boundedness of solutions through fixed-point techniques and fractional-order properties of the Laplace transformation. The basic reproduction number is computed using a next-generation technique, and numerical solutions are obtained using the Adams-Bashforth method. The results are comprehensively discussed through graphs. The obtained results can help us to better control and predict the spread of the disease.
KW - Malaria model
KW - piecewise Caputo-Fabrizio fractional derivative
KW - statistical analysis
UR - http://www.scopus.com/inward/record.url?scp=85185268012&partnerID=8YFLogxK
U2 - 10.3934/math.2024216
DO - 10.3934/math.2024216
M3 - Article
AN - SCOPUS:85185268012
SN - 2473-6988
VL - 9
SP - 4376
EP - 4408
JO - AIMS Mathematics
JF - AIMS Mathematics
IS - 2
ER -
