Zero-Hopf bifurcation for an infection-age structured epidemic model with a nonlinear incidence rate

• Published in: Science China. Mathematics Vol. 60; no. 8; pp. 1371 - 1398
• Main Authors: Liu, ZhiHua, Yuan, Rong
• Format: Journal Article
• Language: English
• Published: Beijing Science China Press 01.08.2017; Springer Nature B.V
• Subjects: Age; Applications of Mathematics; Cauchy problems; Epidemics; Externality; Hopf bifurcation; Hopf分岔; Hopf分支; Incidence; Mathematics; Mathematics and Statistics; Uniqueness; 传染率; 传染病模型; 半线性方程; 年龄结构; 流行病模型; 非线性; non-densely defined; 92D30; zero-Hopf bifurcation; epidemic; 34K18; 35K90; 37G10; infection-age structured; normal form; stability; 35K55; 37L10

An infection-age structured epidemic model with a nonlinear incidence rate is investigated.We formulate the model as an abstract non-densely defined Cauchy problem and derive the condition which guarantees the existence and uniqueness for positive age-dependent equilibrium of the model.By analyzing...