Global dynamics of treatment models with time delay

• Published in: Computational and Applied Mathematics Vol. 34; no. 1; pp. 325 - 341
• Main Author: Safi, Mohammad A.
• Format: Journal Article
• Language: English
• Published: Basel Springer Basel 01.04.2015
• Subjects: Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Treatment; Stability; Time delay; 92B05; Equilibria; Non-linear incidence
• ISSN: 0101-8205; 1807-0302
• DOI: 10.1007/s40314-014-0119-x

The problem of the asymptomatic dynamics of a treatment model with time delay is considered, subject to two incidence functions, namely standard incidence and Holling type II (saturated) incidence function. Rigorous qualitative analysis of the model shows that for each of the two incidence functions...