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Citation - WoS: 4
Citation - Scopus: 5
Stability Analysis of an Epidemic Model With Vaccination and Time Delay
(Wiley, 2023) Turan, Mehmet; Adiguzel, Rezan Sevinik; Koc, F.
This paper presents an epidemic model with varying population, incorporating a new vaccination strategy and time delay. It investigates the impact of vaccination with respect to vaccine efficacy and the time required to see the effects, followed by determining how to control the spread of the disease according to the basic reproduction ratio of the disease. Some numerical simulations are provided to illustrate the theoretical results.
Citation - WoS: 1
Citation - Scopus: 2
On the Dynamics of the Nonlinear Difference Equation xn+1 = Α Plus Βxn-1 + xn-1
(Science Society Thailand, 2015) Aksoy, Aycan; Turan, Mehmet
The boundedness and semi-cycle analysis of positive solutions, existence of period-2 solutions, and local and global asymptotic stability of the recursive sequence x(n+1) = alpha + beta x(n-1) + x(n-1)/x(n), n = 0,1,... are investigated where alpha is an element of [0, infinity), beta is an element of [0, 1) and the initial conditions x(-1) and x(0) are arbitrary positive real numbers. The paper concludes with some numerical examples to illustrate the theoretical results.