Lyapunov Functions and Qualitative Analysis of an Epidemic Model with Vaccination

Md Saiful Islam — 2024-03-14

The spatial-temporal diffusion dynamics of infectious disease with vaccination therapy are studied through a mathematical model. We have investigated the well-posedness, disease-free equilibrium, disease equilibrium, the existence and the uniqueness of solutions, and the calculation of basic reproduction numbers by Jacobian matrix. After that, the positivity, as well as boundedness of solutions, are also established. The global stability of diseasefree and steady-state disease results is established by utilizing compatible Lyapunov functions and LaSalle’s invariance principle. Illustration of the numerical examples to show the dynamics of different population groups over time. The effects of different parameters on the compartments are shown in detail.

GANIT J. Bangladesh Math. Soc. 44.1 (2024) 01- 22

Intuitionistic Fuzzy R₀ Bitopological Space: An In-depth Exploration

Saikh Shahjahan Miah — 2024-03-14

We popose intuitionistic fuzzy bitopological R0-spaces (abbreviated IFB-R0) in this study. On intuitionistic fuzzy bitopological space, we introduce several new ideas of R0-space. Our notions are maintained under one-one, onto, fuzzy open, and fuzzy continious mappings, and we demonstrate that R0-spaces satisfy the "good extention" property.

GANIT J. Bangladesh Math. Soc. 44.1 (2024) 23- 28

GANIT: Journal of Bangladesh Mathematical Society

Lyapunov Functions and Qualitative Analysis of an Epidemic Model with Vaccination

Intuitionistic Fuzzy R0 Bitopological Space: An In-depth Exploration

Intuitionistic Fuzzy R₀ Bitopological Space: An In-depth Exploration