Oscillation and global asymptotic stability in a discrete epidemic model

By D. Zhang, B. Shi. 2003

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Abstract In this paper, we study the oscillation, global asymptotic stability, and other properties of the positive solutions of the difference equation x n+1 = 1− ∑ j=0 k−1 x n−j (1−e −Ax n ), where A∈(0,∞), k∈{2,3,…}, and the initial values x−k+1,x−k+2,…,x0 are arbitrary real positive numbers such that ∑j=0k−1x−j

Subfields: Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/6bc4436b154eae622cea4bf231340790be08ba89