Square-root dynamics of a giving up smoking model |
| |
Authors: | Anwar Zeb Gul Zaman Shaher Momani |
| |
Affiliation: | 1. Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhwa, Pakistan;2. The University of Jordan, Faculty of Science, Department of Mathematics, Amman 1194, Jordan |
| |
Abstract: | The paper presents a new giving up smoking model for which interaction term is square root of potential and occasional smokers of model presented in Zaman (2011) [15]. First, we will show formulation of the model. Then we will discuss local and global stability of the model and its general solutions. The non-standard finite difference method (NSFD) is used to solve the new giving up smoking model. Both non-negativity and conservative law for differential equations system are discussed. Numerical results are presented graphically and compared well with those obtained by Runge–Kutta fourth-order method (RK4) and ODE45. |
| |
Keywords: | Mathematical model Square root dynamics Non-standard finite difference scheme Numerical analysis |
本文献已被 ScienceDirect 等数据库收录! |