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- Title
Almost periodic dynamical behaviors of the hematopoiesis model with mixed discontinuous harvesting terms.
- Authors
Kong, Fanchao; Nieto, Juan J.
- Abstract
Discontinuous system is playing an increasingly important role in terms of both theory and applications. This paper presents a hematopoiesis model with mixed discontinuous harvesting terms. By using differential inclusions theory, the non-smooth analysis theory with Lyapunov-like approach, some new sufficient criteria are given to ascertain the existence, uniqueness and globally exponential stability of the bounded positive almost periodic solutions for the addressed model. Some previously known results are extended and complemented. Moreover, simulation results of two topical numerical examples are also delineated to demonstrate the effectiveness of the established theoretical results.
- Subjects
DIFFERENTIAL inclusions; EXPONENTIAL stability; HUMAN behavior models; HARVESTING; HEMATOPOIESIS; TERMS &; phrases
- Publication
Discrete & Continuous Dynamical Systems - Series B, 2019, Vol 25, Issue 11, p5803
- ISSN
1531-3492
- Publication type
Article
- DOI
10.3934/dcdsb.2019107