劉俊利著的《非線性傳染病模型及應用》主要總
結筆者近幾年在非線性傳染病動力學模型方面相關的
研究工作，包括種群擴散動力學模型、時滯微分方程
模型和脈衝動力學模型，內容涉及疾病的持久性、滅
絕性、穩定性、分支以及正周期解的存在性等。此外
，研討肺結核、手足口病、包蟲病及狂犬病等具體疾
病的建模及應用。
本書可供高等學校數學繫、生物繫以及農、林、
醫等相關專業的本科生、研究生、教師及有關的科技
工作者參考。

Chapter 1 Nonautonomous epidemic models
1.1 Analysis of a nonautonomous epidemic model with density dependent birth rate
1.2 Threshold dynamics for a HFMD epidemic model with periodic transmission rate
References
Chapter 2 Dynamics of dispersal population models with time delays
2.1 Spread of disease involving time delay and population dispersal
2.2 Spread of disease in a patchy environment
References
Chapter 3 Epidemic models with transport-related infection
3.1 Modeling disease spread via transport-related infection by a delay differential equation
3.2 Global stability of an SIRS epidemic model with transport-related infection
3.3 Global dynamics for a two-patch SIS model with time delay and transport-related infection
References
Chapter 4 Some specific diseases modelling
4.1 Global behavior of a heroin epidemic model with distributed delays
4.2 Global stability for a tuberculosis model
4.3 Global dynamics of a time-delayed echinocoecosis transmission model
4.4 A rabies transmission model with population dispersal
References
Chapter 5 Epidemic models with pulses
5.1 Analysis of an epidemic model with density-dependent birth rate, birth pulses
5.2 An impulsive controlled eco-epidemic model with disease in the prey
References
Chapter 6 Bifurcation analysis of an SIS epidemic model with nonlinear birth rate
6.1 Introduction
6.2 Stability analysis and existence of Hopf bifurcation
6.3 Stability and direction of Hopf bifurcation
References
Chapter 7 Effect of discretization on dynamical behavior of SEIR and SIR models with nonlinear incidence
7.1 Introduction
7.2 Analysis of the discrete models obtained by forward Euler method
7.3 Analysis of the discrete models obtained by backward Euler method
7.4 Numerical simulations
References
Chapter 8 Epidemic spreading of an SEIRS model in scale-free networks
8.1 Introduction
8.2 Model Formulation
8.3 Constant infectivity
8.4 Infectivity with proportional degree
8.5 Immunization
8.6 Numerical simulation
References