連續(xù)時間和離散時間結(jié)構(gòu)瘧疾模型及其動力學分析（英文版）

定　價：￥68.00

作　者：	呂軍亮著
出版社：	科學出版社
叢編項：	生物數(shù)學叢書
標　簽：	暫缺

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ISBN：	9787030482563	出版時間：	2016-06-01	包裝：	平裝
開本：	16開	頁數(shù)：	144	字數(shù)：

內(nèi)容簡介

　　20世紀80年代初始，國內(nèi)對“生物數(shù)學”發(fā)生興趣的人越來越多，目前從事生物數(shù)學研究、學習生物數(shù)學的人數(shù)之多已居世界之首。為了加強交流，在“中國生物數(shù)學學會”和科學出版社的共同努力下，組織了本套《生物數(shù)學叢書》，宗旨是促進數(shù)學與生物學的相互滲透，促進數(shù)學在生物學中的應用，帶動生物數(shù)學研究的發(fā)展，培養(yǎng)國內(nèi)生物數(shù)學人才?！哆B續(xù)時間和離散時間結(jié)構(gòu)瘧疾模型及其動力學分析（英文版）》的讀者對象是數(shù)學和生物學相關專業(yè)高年級大學生、研究生、高校教師和科研工作者。

作者簡介

暫缺《連續(xù)時間和離散時間結(jié)構(gòu)瘧疾模型及其動力學分析（英文版）》作者簡介

圖書目錄

《生物數(shù)學叢書》敘
Preface
List of Symbols
Chapter 1 Introduction
1．1 What is malaria and its public health impact
1．2 The history of malaria
1．2．1 Ancient history of malaria（2700 BC-AD 340）
1．2．2 Discovery of the malaria parasite
1．2．3 Eradication efforts worldwide： success and failure（1955-1978）
1．3 Biology and life cycle of malaria
1．4 The history of mathematical malaria modeling
Chapter 2 Dynamics of continuous-time mosquito population models
2．1 Introduction
2．2 Continuous-time four-stage-structured mosquito population model
2．3 The preliminaries
2．4 The inherent net reproductive number of mosquitoes
2．5 Global dynamics of the continuous-time mosquito population model
2．6 Numerical examples
Chapter 3 Mosquito-stage-structured malaria models and their dynamics
3．1 Introduction
3．2 The model formulation
3．3 Positive invariant sets of the model system
3．4 Infection-free equilibrium and the basic reproductive number Ro
3．5 Endemic equilibria and backward bifurcation
3．6 Global stability of the infection-free equilibrium
3．6．1 Lyapunov function
3．6．2 Global stability of the equilibrium
3．7 Global stability of the endemic equilibrium
3．7．1 Volterra-Goh type Lyapunov function
3．7．2 Global stability of the endemic equilibrium
Chapter 4 Dynamics of discrete-time stage-structured mosquito population models
4．1 Introduction
4．2 The model formulation
4．3 The inherent net reproductive number and dynamics of the trivial equilibrium
4．4 The positive equilibrium
4．4．1 Existence of the positive equilibrium
4．4．2 The stability of the positive equilibrium
4．4．3 Uniform persistence
4．5 Numerical examples
Chapter 5 Simple Discrete-Time Malaria Models
5．1 Population dynamics for mosquitoes and humans without infection
5．2 Discrete-time malaria transmission model
5．3 Constant birth rate and survival rates for mosquitoes
5．3．1 The infection-free equilibrium and the basic reproductiv6 number
5．3．2 Endemic equilibria
5．4 Numerical examples
Chapter 6 Discrete-time mosquito-stage-structured malaria models
6．1 The model formulation
6．2 The infection-free fixed point and the basic reproductive number
Chapter 7 Conclusions
Appendix A Ordinary differential equations
A．1 The initial value problem for ODE systems
A．1．1 Nonautonomous systems
A．1．2 Autonomous systems
A．2 Linear systems of ODE
A．2．1 General linear systems
A．2．2 Linear systems with constant coefficients
A．3 Stability
A．3．1 Stability of linear systems with constant coefficients
A．3．2 Stability by linearization
A．4 Cooperative（quasi-monotone）systems
A．4．1 Cooperative linear systems
A．4．2 Nonlinear autonomous quasi-monotone systems
A．5 Lyapunov methods，LaSalle invariance principle
References
Acknowledgments
Figures
《生物數(shù)學叢書》已出版書目