If you made any changes in Pure, your changes will be visible here soon.

Research Output 1987 2019

Filter
Article
2003
15 Citations (Scopus)

Identification of geographic factors associated with early spread of foot-and-mouth disease

Rivas, A. L., Smith, S. D., Sullivan, P. J., Gardner, B., Aparicio, J. P., Hoogesteijn, A. L. & Castillo-Chavez, C., Dec 2003, In : American Journal of Veterinary Research. 64, 12, p. 1519-1527 9 p.

Research output: Contribution to journalArticle

Foot-and-Mouth Disease
Geography
foot-and-mouth disease
farms
roads
19 Citations (Scopus)

Mathematical Models of Isolation and Quarantine

Castillo-Chavez, C., Castillo-Garsow, C. W. & Yakubu, A. A., Dec 3 2003, In : Journal of the American Medical Association. 290, 21, p. 2876-2877 2 p.

Research output: Contribution to journalArticle

Patient Isolation
Quarantine
Severe Acute Respiratory Syndrome
Theoretical Models
135 Citations (Scopus)

SARS outbreaks in Ontario, Hong Kong and Singapore: The role of diagnosis and isolation as a control mechanism

Chowell, G., Fenimore, P. W., Castillo-Garsow, M. A. & Castillo-Chavez, C., Sep 7 2003, In : Journal of Theoretical Biology. 224, 1, p. 1-8 8 p.

Research output: Contribution to journalArticle

Severe Acute Respiratory Syndrome
Singapore
Hong Kong
Ontario
Isolation
14 Citations (Scopus)

Scaling laws for the movement of people between locations in a large city

Chowell, G., Hyman, J. M., Eubank, S. & Castillo-Chavez, C., Dec 1 2003, In : Physical review. E, Statistical, nonlinear, and soft matter physics. 68, 6, p. 66102 1 p.

Research output: Contribution to journalArticle

Scaling Laws
scaling laws
traffic
Traffic
Weights and Measures
104 Citations (Scopus)

Scaling laws for the movement of people between locations in a large city

Chowell, G., Hyman, J. M., Eubank, S. & Castillo-Chavez, C., Dec 2003, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 68, 6 2, p. 661021-661027 7 p., 066102.

Research output: Contribution to journalArticle

Scaling Laws
scaling laws
traffic
Traffic
Computer Model
2002
30 Citations (Scopus)

Interplay between local dynamics and dispersal in discrete-time metapopulation models

Yakubu, A. A. & Castillo-Chavez, C., 2002, In : Journal of Theoretical Biology. 218, 3, p. 273-288 16 p.

Research output: Contribution to journalArticle

Metapopulation
Discrete-time
Patch
Attractor
Model
35 Citations (Scopus)

Markers of disease evolution: The case of tuberculosis

Aparicio, J. P., Capurro, A. F. & Castillo-Chavez, C., 2002, In : Journal of Theoretical Biology. 215, 2, p. 227-237 11 p.

Research output: Contribution to journalArticle

Tuberculosis
tuberculosis
demographic statistics
Demography
Population Dynamics
78 Citations (Scopus)

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

Song, B., Castillo-Chavez, C. & Aparicio, J. P., Nov 2002, In : Mathematical Biosciences. 180, p. 187-205 19 p.

Research output: Contribution to journalArticle

Tuberculosis
tuberculosis
Contact
households
Time Scales
2001
65 Citations (Scopus)

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

Castillo-Chavez, C. & Yakubu, A. A., Aug 2001, In : Nonlinear Analysis, Theory, Methods and Applications. 47, 7, p. 4753-4762 10 p.

Research output: Contribution to journalArticle

Epidemic Model
Chaotic Dynamics
Complex Dynamics
Discrete-time
Model
67 Citations (Scopus)

Dispersal, disease and life-history evolution

Castillo-Chavez, C. & Yakubu, A. A., 2001, In : Mathematical Biosciences. 173, 1, p. 35-53 19 p.

Research output: Contribution to journalArticle

Patch
life history
Bistability
disease transmission
Epidemic Model
57 Citations (Scopus)

On the role of variable latent periods in mathematical models for tuberculosis

Feng, Z., Huang, W. & Castillo-Chavez, C., 2001, In : Journal of Dynamics and Differential Equations. 13, 2, p. 425-452 28 p.

Research output: Contribution to journalArticle

Tuberculosis
Latent Variables
Reproductive number
Mathematical Model
Qualitative Behavior
2000
213 Citations (Scopus)

A model for tuberculosis with exogenous reinfection

Feng, Z., Castillo-Chavez, C. & Capurro, A. F., May 2000, In : Theoretical Population Biology. 57, 3, p. 235-247 13 p.

Research output: Contribution to journalArticle

tuberculosis
Tuberculosis
Infection
infection
Bacillus
9 Citations (Scopus)

A note on pair-formation functions

Schmitz, S. F. H. & Castillo-Chavez, C., Feb 2000, In : Mathematical and Computer Modelling. 31, 4-5, p. 83-91 9 p.

Research output: Contribution to journalArticle

Harmonic mean
Simulation
Demographics
Model
Framework
46 Citations (Scopus)

Transmission and dynamics of tuberculosis on generalized households

Aparicio, J. P., Capurro, A. F. & Castillo-Chavez, C., Oct 7 2000, In : Journal of Theoretical Biology. 206, 3, p. 327-341 15 p.

Research output: Contribution to journalArticle

Tuberculosis
tuberculosis
households
Infection
infection
10 Citations (Scopus)

Urn models and vaccine efficacy estimation

Hernández-Suárez, C. M. & Castillo-Chavez, C., Mar 30 2000, In : Statistics in Medicine. 19, 6, p. 827-835 9 p.

Research output: Contribution to journalArticle

Vaccine Efficacy
Urn model
Vaccines
Vaccine
Estimate
1999
21 Citations (Scopus)

A basic result on the integral for birth-death Markov processes

Hernández-Suárez, C. M. & Castillo-Chavez, C., 1999, In : Mathematical Biosciences. 161, 1-2, p. 95-104 10 p.

Research output: Contribution to journalArticle

Birth-death Process
Markov Chains
Markov Process
Markov processes
extinction
74 Citations (Scopus)

Competitive exclusion and coexistence of multiple strains in an SIS STD model

Castillo-Chavez, C., Huang, W. & Li, J., 1999, In : SIAM Journal on Applied Mathematics. 59, 5, p. 1790-1811 22 p.

Research output: Contribution to journalArticle

Competitive Exclusion
Coexistence
Model
Unstable
If and only if
17 Citations (Scopus)

Density-dependent dynamics and superinfection in an epidemic model

Mena-Lorca, J., Velasco-Hernandez, J. X. & Castillo-Chavez, C., Dec 1999, In : IMA Journal of Mathemathics Applied in Medicine and Biology. 16, 4, p. 307-317 11 p.

Research output: Contribution to journalArticle

Superinfection
Epidemic Model
Population Density
coexistence
Coexistence
1998
203 Citations (Scopus)

Backwards bifurcations and catastrophe in simple models of fatal diseases

Dushoff, J., Huang, W. & Castillo-Chavez, C., Feb 1998, In : Journal of Mathematical Biology. 36, 3, p. 227-248 22 p.

Research output: Contribution to journalArticle

Backward Bifurcation
acquired immunodeficiency syndrome
Catastrophe
Multivariate Analysis
disease transmission
77 Citations (Scopus)

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

Castillo-Chavez, C. & Feng, Z., Aug 1 1998, In : Mathematical Biosciences. 151, 2, p. 135-154 20 p.

Research output: Contribution to journalArticle

Age Structure
Vaccines
Vaccination
vaccination
Model structures
22 Citations (Scopus)

On the relationship between evolution of virulence and host demography

Castillo-Chavez, C. & Velasco-Hernández, J. X., Jun 21 1998, In : Journal of Theoretical Biology. 192, 4, p. 437-444 8 p.

Research output: Contribution to journalArticle

Demography
Pathogens
demography
Virulence
virulence
1997
30 Citations (Scopus)
sexually transmitted diseases
Pathogens
Sexually Transmitted Diseases
Coexistence
Susceptibility
196 Citations (Scopus)

To treat or not to treat: The case of tuberculosis

Castillo-Chavez, C. & Feng, Z., Jun 1997, In : Journal of Mathematical Biology. 35, 6, p. 629-656 28 p.

Research output: Contribution to journalArticle

Tuberculosis
Antibiotics
tuberculosis
antibiotics
Medical problems
1996
86 Citations (Scopus)

Competitive exclusion in gonorrhea models and other sexually transmitted diseases

Castillo-Chavez, C., Huang, W. & Li, J., Apr 1996, In : SIAM Journal on Applied Mathematics. 56, 2, p. 494-508 15 p.

Research output: Contribution to journalArticle

Competitive Exclusion
Pathogens
Coexistence
Global Analysis
Qualitative Analysis
23 Citations (Scopus)

Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease

Velasco-Hernández, J. X., Brauer, F. & Castillo-Chavez, C., Sep 1996, In : IMA Journal of Mathemathics Applied in Medicine and Biology. 13, 3, p. 175-192 18 p.

Research output: Contribution to journalArticle

human immunodeficiency virus
Periodic Solution
Proportion
HIV
risk perception
1995
149 Citations (Scopus)

A core group model for disease transmission

Hadeler, K. P. & Castillo-Chavez, C., 1995, In : Mathematical Biosciences. 128, 1-2, p. 41-55 15 p.

Research output: Contribution to journalArticle

disease prevalence
disease transmission
education programs
sexually transmitted disease
vaccination
13 Citations (Scopus)

Affinity in paired event probability

Blythe, S., Busenberg, S. & Castillo-Chavez, C., 1995, In : Mathematical Biosciences. 128, 1-2, p. 265-284 20 p.

Research output: Contribution to journalArticle

Affine transformation
Genetic Epidemiology
Molecular Epidemiology
Ecology
epidemiology

Remembering stavros busenberg

Castillo-Chavez, C., 1995, In : Mathematical Biosciences. 128, 1-2, p. 3-11 9 p.

Research output: Contribution to journalArticle

Epidemiologic Methods
20th Century History
Mathematics
mathematics
30 Citations (Scopus)

The logistic equation revisited: The two-sex case

Castillo-Chavez, C. & Huang, W., 1995, In : Mathematical Biosciences. 128, 1-2, p. 299-316 18 p.

Research output: Contribution to journalArticle

Logistic Equation
Logistics
logistics
gender
Model
1993
153 Citations (Scopus)

How may infection-age-dependent infectivity affect the dynamics of HIV/AIDS?

Thieme, H. & Castillo-Chavez, C., Oct 1993, In : SIAM Journal on Applied Mathematics. 53, 5, p. 1447-1479 33 p.

Research output: Contribution to journalArticle

Infection
Oscillation
Basic Reproductive number
Functional Relationship
Endemic Equilibrium
1992
12 Citations (Scopus)
empirical method
human immunodeficiency virus
HIV
sexual behavior
acquired immune deficiency syndrome
15 Citations (Scopus)

Using mark-recapture methodology to estimate the size of a population at risk for sexually transmitted diseases

Rubin, G., Umbach, D., Shyu, S. F. & Castillo-Chavez, C., 1992, In : Statistics in Medicine. 11, 12, p. 1533-1549 17 p.

Research output: Contribution to journalArticle

Mark-recapture
Sexual Partners
Analysis of variance
Statistical Models
Risk Factors
1991
85 Citations (Scopus)
Age-structured Model
Epidemic Model
acquired immune deficiency syndrome
subpopulation
General Solution
Age-structured Model
Epidemic Model
acquired immune deficiency syndrome
subpopulation
General Solution
41 Citations (Scopus)

Toward a unified theory of sexual mixing and pair formation

Blythe, S. P., Castillo-Chavez, C., Palmer, J. S. & Cheng, M., 1991, In : Mathematical Biosciences. 107, 2, p. 379-405 27 p.

Research output: Contribution to journalArticle

Sexually Transmitted Diseases
sexually transmitted disease
sexually transmitted diseases
Gonorrhea
Heterosexuality
1990
20 Citations (Scopus)

Environmental context, social interactions, and the spread of HIV

Sattenspiel, L. & Castillo-Chavez, C., 1990, In : American Journal of Human Biology. 2, 4, p. 397-417 21 p.

Research output: Contribution to journalArticle

Interpersonal Relations
human immunodeficiency virus
HIV
Disease
interaction
12 Citations (Scopus)

Scaling of sexual activity [5]

Blythe, S. P. & Castillo-Chavez, C., 1990, In : Nature. 344, 6263, p. 202 1 p.

Research output: Contribution to journalArticle

1989
6 Citations (Scopus)

Dynamical models of ecosystems and epidemics

Levin, S. A., Moloney, K., Buttel, L. & Castillo-Chavez, C., 1989, In : Future Generation Computer Systems. 5, 2-3, p. 265-274 10 p.

Research output: Contribution to journalArticle

Ecosystems
167 Citations (Scopus)

Epidemiological models with age structure, proportionate mixing, and cross-immunity

Castillo-Chavez, C., Hethcote, H. W., Andreasen, V., Levin, S. A. & Liu, W. M., May 1989, In : Journal of Mathematical Biology. 27, 3, p. 233-258 26 p.

Research output: Contribution to journalArticle

cross immunity
Age Structure
Epidemiological Model
Immunity
age structure
62 Citations (Scopus)

Like-with-like preference and sexual mixing models

Blythe, S. P. & Castillo-Chavez, C., 1989, In : Mathematical Biosciences. 96, 2, p. 221-238 18 p.

Research output: Contribution to journalArticle

Sexual Behavior
Epidemiology
epidemiology
Model
methodology
88 Citations (Scopus)

On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS) - Part 1: Single population models

Castillo-Chavez, C., Cooke, K., Huang, W. & Levin, S. A., Aug 1989, In : Journal of Mathematical Biology. 27, 4, p. 373-398 26 p.

Research output: Contribution to journalArticle

acquired immunodeficiency syndrome
Population Model
Reproductive number
Acquired Immunodeficiency Syndrome
survival rate
44 Citations (Scopus)

Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus

Castillo-Chavez, C., Cooke, K., Huang, W. & Levin, S. A., 1989, In : Applied Mathematics Letters. 2, 4, p. 327-331 5 p.

Research output: Contribution to journalArticle

Viruses
Virus
Multiple Equilibria
Endemic Equilibrium
Mathematical Analysis
1988
35 Citations (Scopus)

Physiological and behavioral adaptation to varying environments: a mathematical model

Castillo-Chavez, C., Levin, S. A. & Gould, F., 1988, In : Evolution. 42, 5, p. 986-994 9 p.

Research output: Contribution to journalArticle

Physiological Adaptation
allele
fitness
Theoretical Models
mathematical models
1987
1 Citation (Scopus)

Linear character-dependent models with constant time delay in population dynamics

Castillo-Chavez, C., 1987, In : Mathematical Modelling. 9, 11, p. 821-836 16 p.

Research output: Contribution to journalArticle

Population Dynamics
Time Delay
Dependent
Time Lag
Volterra Integral Equations
1 Citation (Scopus)
Population dynamics
Population Dynamics
Time Delay
Time delay
Dependent