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Research Output 1987 2019

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2019

Building matrix population models when individuals are non-identifiable

Hernandez-Suarez, C., Medone, P., Castillo-Chavez, C. & Rabinovich, J., Jan 7 2019, In : Journal of Theoretical Biology. 460, p. 13-17 5 p.

Research output: Contribution to journalArticle

Matrix Models
Population Model
Population
Triatominae
Reduviidae

Studying Complexity and Risk Through Stochastic Population Dynamics: Persistence, Resonance, and Extinction in Ecosystems

Mubayi, A., Kribs, C., Arunachalam, V. & Castillo-Chavez, C., Jan 1 2019, (Accepted/In press) In : Handbook of Statistics.

Research output: Contribution to journalArticle

Population dynamics
Stochastic Dynamics
Biological systems
Population Dynamics
Random processes
2018
Statistical methods
Social sciences
Bins
Visualization
methodology
3 Citations (Scopus)
Prey-predator Model
Reaction-diffusion Model
Prey
Interior
Hopf bifurcation
Noise
predation
Predator
predators
Model

Modeling the diet dynamics of children: the roles of socialization and the school environment

Safan, M., Murillo, A. L., Wadhera, D. & Castillo-Chavez, C., Dec 14 2018, In : Letters in Biomathematics. 5, 1, p. 275-306 32 p.

Research output: Contribution to journalArticle

Obesity
Socialization
Nutrition
Diet
Modeling
2017
4 Citations (Scopus)

Mathematical Analysis of an SIQR Influenza Model with Imperfect Quarantine

Erdem, M., Safan, M. & Castillo-Chavez, C., Jun 12 2017, (Accepted/In press) In : Bulletin of Mathematical Biology. p. 1-25 25 p.

Research output: Contribution to journalArticle

Quarantine
mathematical analysis
quarantine
influenza
Influenza
6 Citations (Scopus)

Mathematical modeling, analysis and simulation of the spread of Zika with influence of sexual transmission and preventive measures

Padmanabhan, P., Seshaiyer, P. & Castillo-Chavez, C., Jan 1 2017, In : Letters in Biomathematics. 4, 1, p. 148-166 19 p.

Research output: Contribution to journalArticle

Insecticide-Treated Bednets
Insecticides
Spraying
Basic Reproduction Number
Mathematical Modeling
2 Citations (Scopus)

Migration Effects on Population Dynamics of the Honeybee-mite Interactions

Messan, K., DeGrandi-Hoffman, G., Castillo-Chavez, C. & Kang, Y., 2017, In : Mathematical Modelling of Natural Phenomena. 12, 2, p. 84-115 32 p.

Research output: Contribution to journalArticle

Population dynamics
Population Dynamics
Migration
Patch
Interaction
4 Citations (Scopus)

The role of mobility and health disparities on the transmission dynamics of Tuberculosis

Moreno, V., Espinoza, B., Barley, K., Paredes, M., Bichara, D., Mubayi, A. & Castillo-Chavez, C., Jan 28 2017, In : Theoretical Biology and Medical Modelling. 14, 1, p. 1-17 17 p.

Research output: Contribution to journalArticle

Tuberculosis
Health
Patch
Infection
Population Density
2016
4 Citations (Scopus)

A Two-strain TB model with multiple latent stages

Jabbari, A., Castillo-Chavez, C., Nazari, F., Song, B. & Kheiri, H., Aug 1 2016, In : Mathematical Biosciences and Engineering. 13, 4, p. 741-785 45 p.

Research output: Contribution to journalArticle

Tuberculosis
tuberculosis
Public health
Antibiotics
Integral equations
46 Citations (Scopus)

Estimate of the reproduction number of the 2015 Zika virus outbreak in Barranquilla, Colombia, and estimation of the relative role of sexual transmission

Towers, S., Brauer, F., Castillo-Chavez, C., Falconar, A. K. I., Mubayi, A. & Romero-Vivas, C. M. E., Dec 1 2016, In : Epidemics. 17, p. 50-55 6 p.

Research output: Contribution to journalArticle

Arboviruses
Colombia
Disease Outbreaks
Reproduction
Basic Reproduction Number
1 Citation (Scopus)

Modeling eating behaviors: The role of environment and positive food association learning via a Ratatouille effect

Murillo, A. L., Safan, M., Castillo-Chavez, C., Phillips, E. D. C. & Wadhera, D., Aug 1 2016, In : Mathematical Biosciences and Engineering. 13, 4, p. 841-855 15 p.

Research output: Contribution to journalArticle

Association Learning
Behavior Modeling
Feeding Behavior
Nutrition
eating habits
2 Citations (Scopus)

Modeling ebola at the mathematical and theoretical biology institute (MTBI)

Castillo-Chavez, C., Barley, K., Bichara, D., Chowell, D., Diaz Herrera, E., Espinoza, B., Moreno, V., Towers, S. & Yong, K. E., Apr 1 2016, In : Notices of the American Mathematical Society. 63, 4, p. 366-371 6 p.

Research output: Contribution to journalArticle

Quarantine
Biology
Modeling
3 Citations (Scopus)

On the dynamics of dengue virus type 2 with residence times and vertical transmission

Bichara, D., Holechek, S. A., Velázquez-Castro, J., Murillo, A. L. & Castillo-Chavez, C., Jan 1 2016, In : Letters in Biomathematics. 3, 1, p. 140-160 21 p.

Research output: Contribution to journalArticle

Vertical Transmission
Dengue Virus
Residence Time
Viruses
Virus
12 Citations (Scopus)

Vector-borne diseases models with residence times – A Lagrangian perspective

Bichara, D. & Castillo-Chavez, C., Nov 1 2016, In : Mathematical Biosciences. 281, p. 128-138 11 p.

Research output: Contribution to journalArticle

Disease Vectors
vector-borne diseases
Residence Time
disease models
Basic Reproduction Number
2015
13 Citations (Scopus)

Beyond Ebola: Lessons to mitigate future pandemics

Castillo-Chavez, C., Curtiss, R., Daszak, P., Levin, S. A., Patterson-Lomba, O., Perrings, C., Poste, G. & Towers, S., Jul 1 2015, In : The Lancet Global Health. 3, 7, p. e354-e355

Research output: Contribution to journalArticle

Ebola Hemorrhagic Fever
Ebolavirus
Communicable Disease Control
Pandemics
Global Health
49 Citations (Scopus)

Contagion in mass killings and school shootings

Towers, S., Gomez-Lievano, A., Khan, M., Mubayi, A. & Castillo-Chavez, C., Jul 2 2015, In : PLoS One. 10, 7, e0117259.

Research output: Contribution to journalArticle

Firearms
Homicide
Seed
Ownership
planting seed
62 Citations (Scopus)

Mass media and the contagion of fear: The case of Ebola in America

Towers, S., Afzal, S., Bernal, G., Bliss, N., Brown, S., Espinoza, B., Jackson, J., Judson-Garcia, J., Khan, M., Lin, M., Mamada, R., Moreno, V. M., Nazari, F., Okuneye, K., Ross, M. L., Rodriguez, C., Medlock, J., Ebert, D. & Castillo-Chavez, C., Jun 11 2015, In : PLoS One. 10, 6, e0129179.

Research output: Contribution to journalArticle

mass media
Mass Media
fearfulness
Internet
Fear
29 Citations (Scopus)

Modelling the effect of early detection of Ebola

Chowell, D., Castillo-Chavez, C., Krishna, S., Qiu, X. & Anderson, K., Feb 1 2015, In : The Lancet Infectious Diseases. 15, 2, p. 148-149 2 p.

Research output: Contribution to journalArticle

Ebola Hemorrhagic Fever
Communicable Disease Control
Infectious Disease Transmission
Statistical Models
Early Diagnosis
8 Citations (Scopus)

Per capita incidence of sexually transmitted infections increases systematically with urban population size: A cross-sectional study

Patterson-Lomba, O., Goldstein, E., Gómez-Liévano, A., Castillo-Chavez, C. & Towers, S., Dec 1 2015, In : Sexually Transmitted Infections. 91, 8, p. 610-614 5 p.

Research output: Contribution to journalArticle

Urban Population
Sexually Transmitted Diseases
Population Density
Cross-Sectional Studies
Incidence
18 Citations (Scopus)

SIS and SIR Epidemic Models Under Virtual Dispersal

Bichara, D., Kang, Y., Castillo-Chavez, C., Horan, R. & Perrings, C., Nov 1 2015, In : Bulletin of Mathematical Biology. 77, 11, p. 2004-2034 31 p.

Research output: Contribution to journalArticle

SIR Epidemic Model
SIR
Patch
residence time
Residence Time
20 Citations (Scopus)

The role of residence times in two-patch dengue transmission dynamics and optimal strategies

Lee, S. & Castillo-Chavez, C., Jun 7 2015, In : Journal of Theoretical Biology. 374, p. 152-164 13 p.

Research output: Contribution to journalArticle

Residence Time
dengue
Dengue
Optimal Strategy
Patch
2014
14 Citations (Scopus)
Allee Effect
Epidemiological Model
Fitness
Extinction
Persistence
10 Citations (Scopus)
Vertical Transmission
Allee Effect
Horizontal
Model
Extinction
24 Citations (Scopus)

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

Perrings, C., Castillo-Chavez, C., Chowell, G., Daszak, P., Fenichel, E. P., Finnoff, D., Horan, R. D., Kilpatrick, A. M., Kinzig, A., Kuminoff, N., Levin, S., Morin, B., Smith, K. F. & Springborn, M., 2014, In : EcoHealth. 11, 4, p. 464-475 12 p.

Research output: Contribution to journalArticle

infectious disease
epidemiology
Communicable Diseases
Epidemiology
Economics
5 Citations (Scopus)

Resource Consumption, Sustainability, and Cancer

Kareva, I., Morin, B. & Castillo-Chavez, C., 2014, In : Bulletin of Mathematical Biology. 77, 2, p. 319-338 20 p.

Research output: Contribution to journalArticle

Sustainability
Sustainable development
cancer
Cancer
sustainability
1 Citation (Scopus)

Towards a Quantitative Science of Sustainability

Muneepeerakul, R. & Castillo-Chavez, C., 2014, In : Bulletin of Mathematical Biology. 77, 2, p. 254-258 5 p.

Research output: Contribution to journalArticle

Sustainable development
9 Citations (Scopus)

Vertical Transmission in a Two-Strain Model of Dengue Fever

Murillo, D., Holechek, S. A., Murillo, A. L., Sanchez, F. & Castillo-Chavez, C., Jan 1 2014, In : Letters in Biomathematics. 1, 2, p. 249-271 23 p.

Research output: Contribution to journalArticle

Vertical Transmission
Dengue
Peru
Competitive Exclusion
Dengue Virus
2013
3 Citations (Scopus)

A preliminary theoretical analysis of a research experience for undergraduates community model

Castillo-Garsow, C., Castillo-Chavez, C. & Woodley, S., Aug 1 2013, In : PRIMUS. 23, 9, p. 860-880 21 p.

Research output: Contribution to journalArticle

Biology
biology
Theoretical Analysis
community
experience
11 Citations (Scopus)

Discrete Epidemic Models with Arbitrary Stage Distributions and Applications to Disease Control

Hernandez-Ceron, N., Feng, Z. & Castillo-Chavez, C., Oct 2013, In : Bulletin of Mathematical Biology. 75, 10, p. 1716-1746 31 p.

Research output: Contribution to journalArticle

Disease control
disease control
Epidemic Model
Discrete Model
Geometric distribution
13 Citations (Scopus)

Sir Dynamics With Economically Driven Contact Rates

Morin, B. R., Fenichel, E. P. & Castillo-Chavez, C., Nov 2013, In : Natural Resource Modeling. 26, 4, p. 505-525 21 p.

Research output: Contribution to journalArticle

Incidence
Nonlinear Incidence
Contact
Epidemiology
Economics
6 Citations (Scopus)

Some recent developments on linear determinacy

Castillo-Chavez, C., Li, B. & Wang, H., Oct 2013, In : Mathematical Biosciences and Engineering. 10, 5-6, p. 1419-1436 18 p.

Research output: Contribution to journalArticle

Determinacy
Invasion
Nonlinear Dynamics
nonlinear models
Linearization
2012
7 Citations (Scopus)

Differential impact of sickle cell trait on symptomatic and asymptomatic malaria

Shim, E., Feng, Z. & Castillo-Chavez, C., Oct 2012, In : Mathematical Biosciences and Engineering. 9, 4, p. 877-898 22 p.

Research output: Contribution to journalArticle

Sickle Cell Trait
Malaria
malaria
Genes
Cell
9 Citations (Scopus)

Global dynamics of a plant-herbivore model with toxin-determined functional response

Castillo-Chavez, C., Feng, Z. & Huang, W., 2012, In : SIAM Journal on Applied Mathematics. 72, 4, p. 1002-1020 19 p.

Research output: Contribution to journalArticle

Functional Response
Global Dynamics
Interior
Toxicity
Global Stability
21 Citations (Scopus)

Mixing in age-structured population models of infectious diseases

Glasser, J., Feng, Z., Moylan, A., Del Valle, S. & Castillo-Chavez, C., Jan 2012, In : Mathematical Biosciences. 235, 1, p. 1-7 7 p.

Research output: Contribution to journalArticle

Age-structured Population
Age-structured Model
Infectious Diseases
Population Model
infectious diseases
8 Citations (Scopus)

Multiscale analysis of compartment models with dispersal

Kang, Y. & Castillo-Chavez, C., Sep 2012, In : Journal of Biological Dynamics. 6, SUPPL.2, p. 50-79 30 p.

Research output: Contribution to journalArticle

population dynamics
disease models
Allee effect
landscape structure
competitive ability
16 Citations (Scopus)
Spreading Speed
Traveling Wave
Cooperative Systems
Nonlinear Systems
Nonlinear systems
8 Citations (Scopus)

Transitional regimes as early warning signals in resource dependent competition models

Kareva, I., Berezovskaya, F. & Castillo-Chavez, C., Dec 2012, In : Mathematical Biosciences. 240, 2, p. 114-123 10 p.

Research output: Contribution to journalArticle

Competition Model
Early Warning
Restoration
Mathematical models
Resources
2011
132 Citations (Scopus)

Adaptive human behavior in epidemiological models

Fenichela, E. P., Castillo-Chavez, C., Ceddiac, M. G., Chowellb, G., Gonzalez Parrae, P. A., Hickling, G. J., Holloway, G., Horan, R., Morin, B., Perrings, C., Springborn, M., Velazquez, L. & Villalobos, C., Apr 12 2011, In : Proceedings of the National Academy of Sciences of the United States of America. 108, 15, p. 6306-6311 6 p.

Research output: Contribution to journalArticle

Psychological Adaptation
Public Policy
Economic Models
Cost-Benefit Analysis
Communicable Diseases
7 Citations (Scopus)

A deterministic methodology for estimation of parameters in dynamic markov chain models

Ortiz, A. R., Banks, H. T., Castillo-Chavez, C., Chowell, G. & Wang, X., Mar 2011, In : Journal of Biological Systems. 19, 1, p. 71-100 30 p.

Research output: Contribution to journalArticle

Markov Chains
Markov Chain Model
Markov chain
Least-Squares Analysis
Inverse problems
2 Citations (Scopus)

A new A/H1N1 inuenza virus strain. Preface.

Castillo-Chavez, C. & Chowell-Puente, G., Jan 2011, In : Mathematical biosciences and engineering : MBE. 8, 1

Research output: Contribution to journalArticle

H1N1 Subtype Influenza A Virus
Mexico
Human Influenza
Disease Outbreaks
10 Citations (Scopus)

A note on the use of influenza vaccination strategies when supply is limited

Lee, S., Morales, R. & Castillo-Chavez, C., Jan 2011, In : Mathematical Biosciences and Engineering. 8, 1, p. 171-182 12 p.

Research output: Contribution to journalArticle

Vaccines
Vaccination
Vaccine
Influenza
influenza
8 Citations (Scopus)

A note on the use of optimal control on a discrete time model of influenza dynamics

González-Parra, P. A., Lee, S., Velázquez, L. & Castillo-Chavez, C., Jan 2011, In : Mathematical Biosciences and Engineering. 8, 1, p. 183-197 15 p.

Research output: Contribution to journalArticle

Pontryagin Maximum Principle
Maximum principle
Morbidity
Optimal Control Theory
Discrete-time Model
23 Citations (Scopus)
Seroepidemiologic Studies
Pandemics
pandemic
serological surveys
Sample Size
13 Citations (Scopus)

Dynamics of a stage-structured leslie-gower predator-prey model

Huo, H. F., Wang, X. & Castillo-Chavez, C., 2011, In : Mathematical Problems in Engineering. 2011, 149341.

Research output: Contribution to journalArticle

Stage-structured
Predator-prey Model
Sufficient Conditions
Prey
Age Structure
8 Citations (Scopus)

Dynamics of population communities with prey migrations and Allee effects: A bifurcation approach

Berezovskaya, F., Wirkus, S., Song, B. & Castillo-Chavez, C., 2011, In : Mathematical Medicine and Biology. 28, 2, p. 129-152 24 p.

Research output: Contribution to journalArticle

Allee Effect
Allee effect
Population Dynamics
Prey
bifurcation
10 Citations (Scopus)

Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics

Ríos-Soto, K. R., Song, B. & Castillo-Chavez, C., Jan 2011, In : Mathematical Biosciences and Engineering. 8, 1, p. 199-222 24 p.

Research output: Contribution to journalArticle

Influenza
Birds
Orthomyxoviridae
Viruses
Virus
18 Citations (Scopus)

Evaluating the efficacy of antimicrobial cycling programmes and patient isolation on dual resistance in hospitals

Chowa, K., Wanga, X., Curtiss, III. & Castillo-Chavez, C., Jan 2011, In : Journal of Biological Dynamics. 5, 1, p. 27-43 17 p.

Research output: Contribution to journalArticle

cross infection
anti-infective agents
drug resistance
physicians
drug

Mathematical Biosciences and Engineering: Preface

Castillo-Chavez, C. & Chowell-Puente, G., Jan 2011, In : Mathematical Biosciences and Engineering. 8, 1

Research output: Contribution to journalArticle

engineering
Engineering