ICCK

Zakir Ullah

University of Malakand

Section 01

Academic Profile

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Section 02

Editorial Roles

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Section 03

ICCK Publications

Open Access | Research Article | 15 April 2026
Mathematical Modeling of Rabies Control: Evaluating Vaccination Strategies via NSFD and RK4 Approaches
Journal of Numerical Simulations in Physics and Mathematics | Volume 2, Issue 1: 9-24, 2026 | DOI: 10.62762/JNSPM.2026.413156
Abstract
The initial mathematical model for rabies consists of six compartments representing the human and dog populations: $S_h, I_h, V_h, S_d, I_d, V_d$. To obtain a more realistic description of rabies transmission dynamics, we extend the model by introducing two additional human compartments: Exposed ($E_h$) and Recovered ($R_h$) individuals. The extended system therefore comprises eight compartments: $S_h, E_h, I_h, V_h, R_h, S_d, I_d, V_d$. This extension captures important differences in disease progression, treatment response, and transmission pathways. Within this framework, we examine the positivity and boundedness of solutions, derive the basic reproduction number ($R_0$), analyse the sens... More >

Graphical Abstract
Mathematical Modeling of Rabies Control: Evaluating Vaccination Strategies via NSFD and RK4 Approaches