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1

Dynamical Models of Tuberculosis and Their Applications

Castillo-Chavez, Carlos, Song, Baojun

Journal:

Mathematical Biosciences and Engineering

Year:

2004

Language:

english

File:

PDF, 2.46 MB

english, 2004

2

[The IMA Volumes in Mathematics and its Applications] Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory Volume 126 || Global Stability in Some Seir Epidemic Models

Castillo-Chavez, Carlos, Blower, Sally, van den Driessche, Pauline, Kirschner, Denise, Yakubu, Abdul-Aziz

Year:

2002

Language:

english

File:

PDF, 1.80 MB

english, 2002

3

[Texts in Applied Mathematics] Mathematical Models in Population Biology and Epidemiology Volume 40 || Discrete Population Models

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 844 KB

english, 2012

4

Mathematical Analysis of an SIQR Influenza Model with Imperfect Quarantine

Erdem, Mustafa, Safan, Muntaser, Castillo-Chavez, Carlos

Journal:

Bulletin of Mathematical Biology

Year:

2017

Language:

english

File:

PDF, 810 KB

english, 2017

5

[Lecture Notes in Biomathematics] Mathematical and Statistical Approaches to AIDS Epidemiology Volume 83 || Modeling the Interaction of the Immune System with HIV

Castillo-Chavez, Carlos

Year:

1989

Language:

english

File:

PDF, 3.26 MB

english, 1989

6

Student-Driven Research at the Mathematical and Theoretical Biology Institute

Carlos Castillo-Chavez,, Christopher Kribs,, Benjamin Morin,

Journal:

American Mathematical Monthly

Year:

2017

Language:

english

File:

PDF, 412 KB

english, 2017

7

A Model for Tuberculosis with Exogenous Reinfection

Zhilan Feng, Carlos Castillo-Chavez, Angel F. Capurro

Journal:

Theoretical Population Biology

Year:

2000

Language:

english

File:

PDF, 238 KB

english, 2000

8

Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission

Wenzhang Huang, Kenneth L. Cooke and Carlos Castillo-Chavez

Journal:

SIAM Journal on Applied Mathematics

Year:

1992

Language:

english

File:

PDF, 2.20 MB

english, 1992

9

Backwards bifurcations and catastrophe in simple models of fatal diseases

Jonathan Dushoff, Wenzhang Huang, Carlos Castillo-Chavez

Journal:

Journal of Mathematical Biology

Year:

1998

Language:

english

File:

PDF, 468 KB

english, 1998

10

Mathematical Models for Communicable Diseases || Lecture 10: Models for Sexually Transmitted Diseases

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 537 KB

english, 2012

11

Mathematical and Statistical Estimation Approaches in Epidemiology || The Effective Reproduction Number as a Prelude to Statistical Estimation of Time-Dependent Epidemic Trends

Chowell, Gerardo, Hyman, James M., Bettencourt, Luís M. A., Castillo-Chavez, Carlos

Year:

2009

Language:

english

File:

PDF, 374 KB

english, 2009

12

[Texts in Applied Mathematics] Mathematical Models in Epidemiology Volume 69 ||

Brauer, Fred, Castillo-Chavez, Carlos, Feng, Zhilan

Year:

2019

Language:

english

File:

PDF, 15.40 MB

english, 2019

13

Role of Prey Dispersal and Refuges on Predator-Prey Dynamics

Berezovskaya, Faina S., Song, Baojun, Castillo-Chavez, Carlos

Journal:

SIAM Journal on Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 884 KB

english, 2010

14

Global Dynamics of a Plant-Herbivore Model with Toxin-Determined Functional Response

Castillo-Chavez, Carlos, Feng, Zhilan, Huang, Wenzhang

Journal:

SIAM Journal on Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 324 KB

english, 2012

15

How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?

Thieme, Horst R., Castillo-Chavez, Carlos

Journal:

SIAM Journal on Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 3.76 MB

english, 1993

16

Mathematical Models for Communicable Diseases || Lecture 8: Models for the Transmission Dynamics of HIV

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 300 KB

english, 2012

17

Mathematical Models for Communicable Diseases || Lecture 9: Dynamical Models of Tuberculosis and Applications

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 597 KB

english, 2012

18

[Texts in Applied Mathematics] Mathematical Models in Population Biology and Epidemiology Volume 40 || Continuous Single-Species Population Models with Delays

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 775 KB

english, 2012

19

[Texts in Applied Mathematics] Mathematical Models in Population Biology and Epidemiology Volume 40 || Models for Populations with Spatial Structure

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 656 KB

english, 2012

20

[The IMA Volumes in Mathematics and its Applications] Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory Volume 126 || Global Dynamics of Tuberculosis Models with Density Dependent Demography

Castillo-Chavez, Carlos, Blower, Sally, van den Driessche, Pauline, Kirschner, Denise, Yakubu, Abdul-Aziz

Year:

2002

Language:

english

File:

PDF, 1.89 MB

english, 2002

21

Empirical methods for the estimation of the mixing probabilities for socially structured populations from a single survey sample

Blythe, Stephen P., Castillo‐Chavez, Carlos, Casella, George

Journal:

Mathematical Population Studies

Year:

1992

Language:

english

File:

PDF, 1.34 MB

english, 1992

22

Urn models and vaccine efficacy estimation

Carlos M. Hernández-Suárez, Carlos Castillo-Chavez

Journal:

Statistics in Medicine

Year:

2000

Language:

english

File:

PDF, 92 KB

english, 2000

23

Environmental context, social interactions, and the spread of HIV

Lisa Sattenspiel, Carlos Castillo-Chavez

Journal:

American Journal of Human Biology

Year:

1990

Language:

english

File:

PDF, 1.74 MB

english, 1990

24

Dynamical models of ecosystems and epidemics

Simon A. Levin, Kirk Moloney, Linda Buttel, Carlos Castillo-Chavez

Journal:

Future Generation Computer Systems

Year:

1989

Language:

english

File:

PDF, 769 KB

english, 1989

25

Global behavior of a multi-group SIS epidemic model with age structure

Zhilan Feng, Wenzhang Huang, Carlos Castillo-Chavez

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 261 KB

english, 2005

26

The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models

Luís M.A. Bettencourt, Ariel Cintrón-Arias, David I. Kaiser, Carlos Castillo-Chávez

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2006

Language:

english

File:

PDF, 327 KB

english, 2006

27

Discrete-time S-I-S models with complex dynamics

Carlos Castillo-Chavez, Abdul-Aziz Yakubu

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2001

File:

PDF, 435 KB

2001

28

Pros and cons of estimating the reproduction number from early epidemic growth rate of influenza A (H1N1) 2009

Hiroshi Nishiura, Gerardo Chowell, Muntaser Safan, Carlos Castillo-Chavez

Journal:

Theoretical Biology and Medical Modelling

Year:

2010

Language:

english

File:

PDF, 781 KB

english, 2010

29

Coexistence of pathogens in sexually-transmitted disease models

Jia Li, Zhien Ma, Steve P. Blythe, Carlos Castillo-Chavez

Journal:

Journal of Mathematical Biology

Year:

2003

Language:

english

File:

PDF, 232 KB

english, 2003

30

Types of drinkers and drinking settings: an application of a mathematical model

Anuj Mubayi, Priscilla Greenwood, Xiaohong Wang, Carlos Castillo-Chávez, Dennis M. Gorman, Paul Gruenewald, Robert F. Saltz

Journal:

Year:

2011

Language:

english

File:

PDF, 591 KB

english, 2011

31

Tuberculosis models with fast and slow dynamics: the role of close and casual contacts

Baojun Song, Carlos Castillo-Chavez, Juan Pablo Aparicio

Journal:

Mathematical Biosciences

Year:

2002

Language:

english

File:

PDF, 186 KB

english, 2002

32

Global stability of an age-structure model for TB and its applications to optimal vaccination strategies

Carlos Castillo-Chavez, Zhilan Feng

Journal:

Mathematical Biosciences

Year:

1998

Language:

english

File:

PDF, 157 KB

english, 1998

33

Competitive Exclusion and Coexistence of Multiple Strains in an SIS STD Model

Castillo-Chavez, Carlos, Huang, Wenzhang, Li, Jia

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 396 KB

english, 1999

34

Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission

Huang, WenZhang, Cooke, Kenneth L., Castillo-Chavez, Carlos

Journal:

SIAM Journal on Applied Mathematics

Year:

1992

Language:

english

File:

PDF, 2.24 MB

english, 1992

35

Competitive Exclusion in Gonorrhea Models and Other Sexually Transmitted Diseases

Castillo-Chavez, Carlos, Huang, Wenzhang, Li, Jia

Journal:

SIAM Journal on Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 1.57 MB

english, 1996

36

Mathematical Models for Communicable Diseases || Front Matter

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 432 KB

english, 2012

37

Mathematical Models for Communicable Diseases || Lecture 1: Compartmental Epidemic Models

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 284 KB

english, 2012

38

Mathematical Models for Communicable Diseases || Lecture 5: Models for Diseases in Highly Mobile Populations

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 1.36 MB

english, 2012

39

Mathematical Models for Communicable Diseases || Lecture 4: Models Structured by Age

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 153 KB

english, 2012

40

Mathematical Models for Communicable Diseases || Lecture 3: Heterogeneity in Epidemic Models

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 176 KB

english, 2012

41

Mathematical Models for Communicable Diseases || Lecture 2: Models for Endemic Diseases

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 214 KB

english, 2012

42

Mathematical Models for Communicable Diseases || Lecture 6: Modeling Influenza

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 287 KB

english, 2012

43

Mathematical Models for Communicable Diseases || Lecture 7: Models for the Dynamics of Influenza

Brauer, Fred, Castillo-Chavez, Carlos

Year:

2012

Language:

english

File:

PDF, 357 KB

english, 2012

44

Transitional regimes as early warning signals in resource dependent competition models

Kareva, Irina, Berezovskaya, Faina, Castillo-Chavez, Carlos

Journal:

Mathematical Biosciences

Year:

2012

Language:

english

File:

PDF, 797 KB

english, 2012

45

Competitive Exclusion and Coexistence of Multiple Strains in an SIS STD Model

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 471 KB

english, 1999

46

How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?

Horst R. Thieme and Carlos Castillo-Chavez

Journal:

SIAM Journal on Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 3.82 MB

english, 1993

47

Competitive Exclusion in Gonorrhea Models and Other Sexually Transmitted Diseases

Carlos Castillo-Chavez, Wenzhang Huang and Jia Li

Journal:

SIAM Journal on Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 1.22 MB

english, 1996

48

Modelling the effect of early detection of Ebola

Chowell, Diego, Castillo-Chavez, Carlos, Krishna, Sri, Qiu, Xiangguo, Anderson, Karen S

Journal:

The Lancet Infectious Diseases

Year:

2015

Language:

english

File:

PDF, 133 KB

english, 2015

49

Merging Economics and Epidemiology to Improve the Prediction and Management of Infectious Disease

Perrings, Charles, Castillo-Chavez, Carlos, Chowell, Gerardo, Daszak, Peter, Fenichel, Eli P., Finnoff, David, Horan, Richard D., Kilpatrick, A. Marm, Kinzig, Ann P., Kuminoff, Nicolai V., Levin, Simo

Journal:

Year:

2014

Language:

english

File:

PDF, 366 KB

english, 2014

50

[The IMA Volumes in Mathematics and its Applications] Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory Volume 126 ||

Castillo-Chavez, Carlos, Blower, Sally, van den Driessche, Pauline, Kirschner, Denise, Yakubu, Abdul-Aziz

Year:

2002

Language:

english

File:

PDF, 32.34 MB

english, 2002

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