EPIDEMIOLOGICAL MODELING AND CONTROL OF PNEUMONIA TYPHOID CO-INFECTION IN AN EXPONENTIAL DECAY LAW
Küçük Resim Yok
Tarih
2026
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper develops a fractional-order mathematical framework to investigate the co-infection dynamics of Pneumonia and Typhoid fever using the Caputo-Fabrizio (CF) fractional derivative. The CF operator, characterized by a non-singular exponential kernel, captures the fading memory and hereditary effects inherent in biological processes, providing a more realistic representation of disease transmission. The total human population is divided into eight interacting compartments-susceptible, singly infected (with either Pneumonia or Typhoid), co-infected, recovered groups, and the environmental bacterial concentration. A system of CF-based fractional differential equations is formulated to describe the temporal evolution of each compartment. Theoretical analysis establishes the positivity, boundedness, and Hyers-Ulam stability of the system. Existence and uniqueness of solutions are rigorously proved using Lipschitz continuity and fixed-point theorems in Banach spaces. A modified fractional Euler method tailored for the CF operator is employed to obtain numerical solutions and assess convergence behavior. Numerical simulations under various fractional orders demonstrate that decreasing the fractional order enhances memory effects, leading to slower epidemic progression, attenuated infection peaks, and delayed recovery. The results confirm that memory-driven fractional dynamics significantly influence co-infection behavior and bacterial persistence. The proposed CF-Euler framework improves the biological realism of epidemic modeling and provides a foundation for developing memory-based control strategies in managing co-infectious diseases.
Açıklama
Anahtar Kelimeler
[Keyword Not Available]
Kaynak
Discrete and Continuous Dynamical Systems-Series S
WoS Q Değeri
Q3
