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Research Output 1987 2019

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Article
2011
30 Citations (Scopus)

Modeling control strategies for concurrent epidemics of seasonal and pandemic H1N1 influenza

Prosper, O., Saucedo, O., Thompson, D., Torres-Garcia, G., Wang, X. & Castillo-Chavez, C., Jan 2011, In : Mathematical Biosciences and Engineering. 8, 1, p. 141-170 30 p.

Research output: Contribution to journalArticle

Vaccines
Influenza
Pandemics
pandemic
Vaccine
22 Citations (Scopus)
Pandemics
pandemic
influenza
Disease Outbreaks
public health
19 Citations (Scopus)

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

Mubayi, A., Greenwood, P., Wang, X., Castillo-Chavez, C., Gorman, D. M., Gruenewald, P. & Saltz, R. F., Apr 2011, In : Addiction. 106, 4, p. 749-758 10 p.

Research output: Contribution to journalArticle

Drinking
Theoretical Models
Light
Alcohol Drinking
Socialization
2010
23 Citations (Scopus)

A cost-based comparison of quarantine strategies for new emerging diseases

Mubayi, A., Zaleta, C. K., Martcheva, M. & Castillo-Chavez, C., Jul 2010, In : Mathematical Biosciences and Engineering. 7, 3, p. 687-717 31 p.

Research output: Contribution to journalArticle

Quarantine
emerging diseases
quarantine
Costs and Cost Analysis
Infectious Diseases
1 Citation (Scopus)

A discrete events delay differential system model for transmission of Vancomycin-resistant enterococcus (VRE) in hospitals

Ortiz, A., Banks, H. T., Castillo-Chavez, C., Chowell, G. & Wang, X., Dec 2010, In : Journal of Inverse and Ill-Posed Problems. 18, 7, p. 787-821 35 p.

Research output: Contribution to journalArticle

Delay-differential Systems
Discrete Event
Surveillance
Isolation
Irregularity
7 Citations (Scopus)

An application of queuing theory to sis and seis epidemic models

Herńandez-Súarez, C. M., Castillo-Chavez, C., Ĺopez, O. M. & Herńandez-Cuevas, K., Oct 2010, In : Mathematical Biosciences and Engineering. 7, 4, p. 809-823 15 p.

Research output: Contribution to journalArticle

Queuing Theory
Systems Theory
Epidemic Model
Servers
Server
8 Citations (Scopus)

Community resilience in collaborative learning

Crisosto, N. M., Kribs-Zaleta, C. M., Castillo-Chavez, C. & Wirkus, S., Jul 2010, In : Discrete and Continuous Dynamical Systems - Series B. 14, 1, p. 17-40 24 p.

Research output: Contribution to journalArticle

Collaborative Learning
Resilience
Epidemiology
Bifurcation (mathematics)
Fitness
32 Citations (Scopus)

Discrete epidemic models

Brauer, F., Feng, Z. & Castillo-Chavez, C., Jan 2010, In : Mathematical Biosciences and Engineering. 7, 1, p. 1-15 15 p.

Research output: Contribution to journalArticle

Epidemic Model
Discrete Model
Disease Outbreaks
Expand
Severe Acute Respiratory Syndrome
8 Citations (Scopus)

Myeloid cells in tumour-immune interactions

Kareva, I., Berezovskaya, F. & Castillo-Chavez, C., Jul 2010, In : Journal of Biological Dynamics. 4, 4, p. 315-327 13 p.

Research output: Contribution to journalArticle

tumor
immune response
neoplasms
immune system
predators
8 Citations (Scopus)

Notes from the heterogeneous: A few observations on the implications and necessity of affinity

Morin, B. R., Castillo-Chavez, C., Schmitz, S. F. H., Mubayi, A. & Wang, X., Sep 2010, In : Journal of Biological Dynamics. 4, 5, p. 456-477 22 p.

Research output: Contribution to journalArticle

gender
drinking
modeling
active population
52 Citations (Scopus)

Optimal control for pandemic influenza: The role of limited antiviral treatment and isolation

Lee, S., Chowell, G. & Castillo-Chavez, C., Jul 2010, In : Journal of Theoretical Biology. 265, 2, p. 136-150 15 p.

Research output: Contribution to journalArticle

Influenza
Pandemics
pandemic
influenza
Human Influenza
14 Citations (Scopus)

Optimal control intervention strategies in low- and high-risk problem drinking populations

Lee, S., Jung, E. & Castillo-Chavez, C., Dec 2010, In : Socio-Economic Planning Sciences. 44, 4, p. 258-265 8 p.

Research output: Contribution to journalArticle

intervention strategy
drinking
Optimal Control
relapse
Horizon
98 Citations (Scopus)
Reproduction number
Influenza
Human Influenza
Reproduction
Infection
4 Citations (Scopus)

Public vaccination policy using an age-structured model of pneumococcal infection dynamics

Sutton, K. L., Banks, H. T. & Castillo-Chavez, C., Mar 2010, In : Journal of Biological Dynamics. 4, 2, p. 176-195 20 p.

Research output: Contribution to journalArticle

vaccination
infection
Streptococcus pneumoniae
bacterium
pneumonia
21 Citations (Scopus)

Role of prey dispersal and refuges on predator-prey dynamics

Berezovskaya, F. S., Song, B. & Castillo-Chavez, C., 2010, In : SIAM Journal on Applied Mathematics. 70, 6, p. 1821-1839 19 p.

Research output: Contribution to journalArticle

Predator-prey
Prey
Predator prey systems
Initial conditions
Population dynamics
8 Citations (Scopus)

Static behavioral effects on gonorrhea transmission dynamics in a MSM population

Morin, B. R., Medina-Rios, L., Camacho, E. & Castillo-Chavez, C., Nov 2010, In : Journal of Theoretical Biology. 267, 1, p. 35-40 6 p.

Research output: Contribution to journalArticle

Gonorrhea
Reproductive number
Endemic Equilibrium
Global Dynamics
gender
37 Citations (Scopus)

The impact of relative residence times on the distribution of heavy drinkers in highly distinct environments

Mubayi, A., Greenwood, P. E., Castillo-Chavez, C., Gruenewald, P. J. & Gorman, D. M., Mar 2010, In : Socio-Economic Planning Sciences. 44, 1, p. 45-56 12 p.

Research output: Contribution to journalArticle

Residence Time
drinking
residence time
Distinct
Proportion
35 Citations (Scopus)

Transmission dynamics and underreporting of Kala-azar in the Indian state of Bihar

Mubayi, A., Castillo-Chavez, C., Chowell, G., Kribs-Zaleta, C., Ali Siddiqui, N., Kumar, N. & Das, P., Jan 7 2010, In : Journal of Theoretical Biology. 262, 1, p. 177-185 9 p.

Research output: Contribution to journalArticle

visceral leishmaniasis
Visceral Leishmaniasis
India
Reproduction number
Incidence

Using inverse problem methods with surveillance data in pneumococcal vaccination

Sutton, K. L., Banks, H. T. & Castillo-Chavez, C., Mar 2010, In : Mathematical and Computer Modelling. 51, 5-6, p. 369-388 20 p.

Research output: Contribution to journalArticle

Vaccines
Vaccination
Inverse problems
Surveillance
Inverse Problem
2009
6 Citations (Scopus)

Immune level approach for multiple strain pathogens

NuÑo, M., Martcheva, M. & Castillo-Chavez, C., Dec 2009, In : Journal of Biological Systems. 17, 4, p. 713-737 25 p.

Research output: Contribution to journalArticle

Pathogens
immunity
Immunity
pathogen
pathogens

Mathematical Biosciences and Engineering: From the guest editors

Castillo-Chavez, C., Zaleta, C. K., Kuang, Y. & Song, B., Apr 2009, In : Mathematical Biosciences and Engineering. 6, 2

Research output: Contribution to journalArticle

engineering
Engineering
39 Citations (Scopus)

Mathematical modelling of tuberculosis epidemics

Aparicio, J. P. & Castillo-Chavez, C., Apr 2009, In : Mathematical Biosciences and Engineering. 6, 2, p. 209-237 29 p.

Research output: Contribution to journalArticle

Tuberculosis
tuberculosis
Mathematical Modeling
mathematical models
Equidae
49 Citations (Scopus)

Modeling TB and HIV co-infections

Roeger, L. I. W., Feng, Z. & Castillo-Chavez, C., Oct 2009, In : Mathematical Biosciences and Engineering. 6, 4, p. 815-837 23 p.

Research output: Contribution to journalArticle

Tuberculosis
Human immunodeficiency virus
Virus Diseases
Coinfection
mixed infection
1 Citation (Scopus)

Preface

Chowell, G., Hyman, J. M., Bettencourt, L. M. A. & Castillo-Chavez, C., 2009, In : Unknown Journal.

Research output: Contribution to journalArticle

50 Citations (Scopus)

The estimation of the effective reproductive number from disease outbreak data

Cintrôn-Arias, A., Castillo-Chavez, C., Bettencourt, L. M. A., Lloyd, A. L. & Banks, H. T., Apr 2009, In : Mathematical Biosciences and Engineering. 6, 2, p. 261-282 22 p.

Research output: Contribution to journalArticle

Reproductive number
Normal Distribution
Statistical Models
Least-Squares Analysis
Human Influenza
175 Citations (Scopus)
Minors
H1N1 Subtype Influenza A Virus
Influenza A virus
Japan
Reproduction
2008
32 Citations (Scopus)

A schistosomiasis model with mating structure and time delay

Castillo-Chavez, C., Feng, Z. & Xu, D., Feb 2008, In : Mathematical Biosciences. 211, 2, p. 333-341 9 p.

Research output: Contribution to journalArticle

schistosomiasis
Schistosomiasis
Time Delay
Time delay
parasite
10 Citations (Scopus)

Estimation of invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia

Sutton, K. L., Banks, H. T. & Castillo-Chavez, C., Jan 2008, In : Mathematical Biosciences and Engineering. 5, 1, p. 175-204 30 p.

Research output: Contribution to journalArticle

Vaccines
Vaccination
Infection
vaccination
Vaccine
80 Citations (Scopus)

Population modeling of the emergence and development of scientific fields

Bettencourt, L. M. A., Kaiser, D. I., Kaur, J., Castillo-Chavez, C. & Wojick, D. E., Jun 2008, In : Scientometrics. 75, 3, p. 495-518 24 p.

Research output: Contribution to journalArticle

Epidemiology
Scaling laws
Productivity
scientific discipline
apprenticeship
44 Citations (Scopus)

Spatial and temporal dynamics of dengue fever in Peru: 1994-2006

Chowell, G., Torre, C. A., Munayco-Escate, C., Suárez-Ognio, L., López-Cruz, R., Hyman, J. M. & Castillo-Chavez, C., 2008, In : Epidemiology and Infection. 136, 12, p. 1667-1677 11 p.

Research output: Contribution to journalArticle

Peru
Dengue
South America
Population Density
Reproduction
6 Citations (Scopus)
sexually transmitted diseases
at-risk population
Sexually Transmitted Diseases
demographic statistics
Demography
2007
3 Citations (Scopus)

Clinical diagnostic delays and epidemiology of dengue fever during the 2002 outbreak in Colima, Mexico

Chowell, G., Díaz-Dueñas, P., Chowell, D., Hews, S., Ceja-Espíritu, G., Hyman, J. M. & Castillo-Chavez, C., Dec 2007, In : Dengue Bulletin. 31, p. 26-35 10 p.

Research output: Contribution to journalArticle

Dengue
Mexico
Disease Outbreaks
Epidemiology
Public Health
115 Citations (Scopus)

Estimation of the reproduction number of dengue fever from spatial epidemic data

Chowell, G., Diaz-Dueñas, P., Miller, J. C., Alcazar-Velazco, A., Hyman, J. M., Fenimore, P. W. & Castillo-Chavez, C., Aug 2007, In : Mathematical Biosciences. 208, 2, p. 571-589 19 p.

Research output: Contribution to journalArticle

dengue fever
Reproduction number
dengue
Dengue
Reproduction
14 Citations (Scopus)

On the role of cross-immunity and vaccines on the survival of less fit flu-strains

Nuño, M., Chowell, G., Wang, X. & Castillo-Chavez, C., Feb 2007, In : Theoretical Population Biology. 71, 1, p. 20-29 10 p.

Research output: Contribution to journalArticle

cross immunity
vaccine
immunity
influenza
Immunity
2006
45 Citations (Scopus)

An age-structured epidemic model of rotavirus with vaccination

Shim, E., Feng, Z., Martcheva, M. & Castillo-Chavez, C., Oct 2006, In : Journal of Mathematical Biology. 53, 4, p. 719-746 28 p.

Research output: Contribution to journalArticle

Rotavirus Vaccines
Age-structured Model
Vaccines
Vaccination
Rotavirus
8 Citations (Scopus)

Modelling the transmission dynamics of acute haemorrhagic conjuctivitis: Application to the 2003 outbreak in Mexico

Chowell, G., Shim, E., Brauer, F., Diaz-Dueñas, P., Hyman, J. M. & Castillo-Chavez, C., Jun 15 2006, In : Statistics in Medicine. 25, 11, p. 1840-1857 18 p.

Research output: Contribution to journalArticle

Mexico
Acute
Disease Outbreaks
Acute Hemorrhagic Conjunctivitis
Public Health
26 Citations (Scopus)

Raves, clubs and ecstasy: The impact of peer pressure

Song, B., Castillo-Garsow, M., Ríos-Soto, K. R., Mejran, M., Henso, L. & Castillo-Chavez, C., Jan 2006, In : Mathematical Biosciences and Engineering. 3, 1, p. 249-266 18 p.

Research output: Contribution to journalArticle

peers
education
Education
Backward Bifurcation
System of Differential Equations
5 Citations (Scopus)

The influence of infectious diseases on population genetics

Feng, Z. & Castillo-Chavez, C., Jul 2006, In : Mathematical Biosciences and Engineering. 3, 3, p. 467-483 17 p.

Research output: Contribution to journalArticle

Malaria
Population Genetics
Infectious Diseases
malaria
infectious diseases
194 Citations (Scopus)

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

Bettencourt, L. M. A., Cintrón-Arias, A., Kaiser, D. I. & Castillo-Chavez, C., May 15 2006, In : Physica A: Statistical Mechanics and its Applications. 364, p. 513-536 24 p.

Research output: Contribution to journalArticle

Epidemiological Model
theoretical physics
U.S.S.R.
Feynman diagrams
infectious diseases
21 Citations (Scopus)

The role of spatial mixing in the spread of foot-and-mouth disease

Chowell, G., Rivas, A. L., Hengartner, N. W., Hyman, J. M. & Castillo-Chavez, C., Mar 16 2006, In : Preventive Veterinary Medicine. 73, 4, p. 297-314 18 p.

Research output: Contribution to journalArticle

Foot-and-Mouth Disease
foot-and-mouth disease
farm numbers
Immunization Programs
Theoretical Models
2005
78 Citations (Scopus)

Dynamics of two-strain influenza with isolation and partial cross-immunity

Nuño, M., Feng, Z., Martcheva, M. & Castillo-Chavez, C., 2005, In : SIAM Journal on Applied Mathematics. 65, 3, p. 964-982 19 p.

Research output: Contribution to journalArticle

Influenza
Immunity
Isolation
Partial
Coexistence
89 Citations (Scopus)

Effects of behavioral changes in a smallpox attack model

Del Valle, S., Hethcote, H., Hyman, J. M. & Castillo-Chavez, C., Jun 2005, In : Mathematical Biosciences. 195, 2, p. 228-251 24 p.

Research output: Contribution to journalArticle

smallpox
Smallpox
vaccination
Attack
Contact
61 Citations (Scopus)

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

Feng, Z., Huang, W. & Castillo-Chavez, C., Nov 15 2005, In : Journal of Differential Equations. 218, 2, p. 292-324 33 p.

Research output: Contribution to journalArticle

SIS Model
Age Structure
Endemic Equilibrium
Epidemic Model
Irreducibility
16 Citations (Scopus)

Pediatric electrocardiograph abnormalities following Centruroides limpidus tecomanus scorpion envenomation

Diaz, P., Chowell, G., Ceja, G., D'Auria, T. C., Lloyd, R. C. & Castillo-Chavez, C., Jan 2005, In : Toxicon. 45, 1, p. 27-31 5 p.

Research output: Contribution to journalArticle

tetrachloroisophthalonitrile
Scorpions
Pediatrics
Eye movements
Public health
2004
27 Citations (Scopus)

Implications of systems dynamic models and control theory for environmental approaches to the prevention of alcohol- and other drug use-related problems

Gorman, D. M., Gruenewald, P. J., Hanlon, P. J., Mezic, I., Waller, L. A., Castillo-Chavez, C., Bradley, E. & Mezic, J., 2004, In : Substance Use and Misuse. 39, 10-12, p. 1713-1750 38 p.

Research output: Contribution to journalArticle

model theory
control theory
drug use
alcohol
Alcohols
73 Citations (Scopus)

Model parameters and outbreak control for SARS

Chowell, G., Castillo-Chavez, C., Fenimore, P. W., Kribs-Zaleta, C. M., Arriola, L. & Hyman, J. M., Jul 2004, In : Emerging Infectious Diseases. 10, 7, p. 1258-1263 6 p.

Research output: Contribution to journalArticle

Severe Acute Respiratory Syndrome
Disease Outbreaks
Patient Isolation
239 Citations (Scopus)

The basic reproductive number of Ebola and the effects of public health measures: The cases of Congo and Uganda

Chowell, G., Hengartner, N. W., Castillo-Chavez, C., Fenimore, P. W. & Hyman, J. M., Jul 7 2004, In : Journal of Theoretical Biology. 229, 1, p. 119-126 8 p.

Research output: Contribution to journalArticle

Basic Reproductive number
Congo
Uganda
Republic of the Congo
Public Health
2003
14 Citations (Scopus)

Coexistence of pathogens in sexually-transmitted disease models

Li, J., Ma, Z., Blythe, S. P. & Castillo-Chavez, C., Dec 2003, In : Journal of Mathematical Biology. 47, 6, p. 547-568 22 p.

Research output: Contribution to journalArticle

sexually transmitted diseases
disease models
Population Dynamics
Pathogens
Sexually Transmitted Diseases
11 Citations (Scopus)

Critical response time (time available to implement effective measures for epidemic control): Model building and evaluation

Rivas, A. L., Tennenbaum, S. E., Aparicio, J. P., Hoogesteijn, A. L., Mohammed, H. O., Castillo-Chavez, C. & Schwager, S. J., Oct 2003, In : Canadian Journal of Veterinary Research. 67, 4, p. 307-311 5 p.

Research output: Contribution to journalArticle

Reaction Time
foot-and-mouth disease
Foot-and-Mouth Disease
control methods
Uruguay
50 Citations (Scopus)

Diseases with chronic stage in a population with varying size

Martcheva, M. & Castillo-Chavez, C., Mar 2003, In : Mathematical Biosciences. 182, 1, p. 1-25 25 p.

Research output: Contribution to journalArticle

Age-structured Model
Endemic Equilibrium
Proportion
Chronic Disease
Numerical Methods