Qualitative behavior of numerical solutions to an s-i-s epidemic model

✍ Scribed by Mi-Young Kim

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 447 KB
• Volume: 14
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/(sici)1098-2426(199805)14:3<317::aid-num3>3.0.co;2-p

✦ Synopsis

A finite difference scheme along the characteristics is used to approximate the solution of an age-dependent s-i-s epidemic model. The global behavior of the discrete solution resulting from the algorithm is investigated. It is shown that a nontrivial discrete periodic solution is generated by a periodic force of infection. Sufficient (and explicit) threshold conditions for the existence and stability of a unique nontrivial periodic solution are given. Results from numerical experiments are presented.