4.5 Article

Mathematical modeling of intervention and low medical resource availability with delays: Applications to COVID-19 outbreaks in Spain and Italy

Related references

Note: Only part of the references are listed.
Article Biology

Mathematical computations on epidemiology: a case study of the novel coronavirus (SARS-CoV-2)

Saikat Batabyal et al.

Summary: The outbreak of COVID-19 is spreading rapidly around the world with scientists using mathematical modeling to predict its transmission trends and determining that controlling factors lie in the disease's basic reproductive rate and the transmission rate in critically ill cases. Measures like social distancing and lockdowns play an important role in influencing recovery rates, mortality rates, and active cases as time progresses in the real world.

THEORY IN BIOSCIENCES (2021)

Article Mathematics, Interdisciplinary Applications

COVID-19: Perturbation dynamics resulting chaos to stable with seasonality transmission

Saikat Batabyal

Summary: This paper introduces an extended SEIR compartmental model with seasonality transmission of SARS-CoV-2, analyzing the stability and control methods for the virus spread. The impact of social distancing, lockdowns, and other public health measures on the model parameters are significant in altering the progression of the disease over time.

CHAOS SOLITONS & FRACTALS (2021)

Article Mathematics, Interdisciplinary Applications

Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays

Zizhen Zhang et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Mathematical & Computational Biology

Mathematical modeling of COVID-19 transmission: the roles of intervention strategies and lockdown

Sarita Bugalia et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2020)

Article Mathematical & Computational Biology

Modelling and assessing the effects of medical resources on transmission of novel coronavirus (COVID-19) in Wuhan, China

Liping Wang et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2020)

Article Mathematical & Computational Biology

Analysis of COVID-19 transmission in Shanxi Province with discrete time imported cases

Ming-Tao Li et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2020)

Article Mathematics, Applied

Global dynamics and sliding motion in A(H7N9) epidemic models with limited resources and Filippov control

Rui Mu et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2019)

Article Biology

The Effect of Movement Behavior on Population Density in Patchy Landscapes

Nazanin Zaker et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2019)

Article Mathematics, Applied

Cholera model incorporating media coverage with multiple delays

Shu Liao et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2019)

Article Mathematics, Applied

Role of media coverage and delay in controlling infectious diseases: A mathematical model

Fahad Al Basir et al.

APPLIED MATHEMATICS AND COMPUTATION (2018)

Article Mathematics, Applied

Global stability analysis of an SVEIR epidemic model with general incidence rate

Da-peng Gao et al.

BOUNDARY VALUE PROBLEMS (2018)

Article Mathematics, Applied

Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period

Aekabut Sirijampa et al.

ADVANCES IN DIFFERENCE EQUATIONS (2018)

Article Mathematics, Applied

Awareness programs control infectious disease - Multiple delay induced mathematical model

David Greenhalgh et al.

APPLIED MATHEMATICS AND COMPUTATION (2015)

Article Mathematics

A stochastic SIRS epidemic model with infectious force under intervention strategies

Yongli Cai et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2015)

Article Multidisciplinary Sciences

Media impact switching surface during an infectious disease outbreak

Yanni Xiao et al.

SCIENTIFIC REPORTS (2015)

Article Mathematics

Bifurcations and complex dynamics of an SIR model with the impact of the number of hospital beds

Chunhua Shan et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2014)

Article Mathematical & Computational Biology

DYNAMICS OF AN INFECTIOUS DISEASES WITH MEDIA/PSYCHOLOGY INDUCED NON-SMOOTH INCIDENCE

Yanni Xiao et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2013)

Article Biology

EFFECT OF AWARENESS PROGRAMS IN CONTROLLING THE PREVALENCE OF AN EPIDEMIC WITH TIME DELAY

A. K. Misra et al.

JOURNAL OF BIOLOGICAL SYSTEMS (2011)

Article Mathematical & Computational Biology

AN SEIR EPIDEMIC MODEL WITH CONSTANT LATENCY TIME AND INFECTIOUS PERIOD

Edoardo Beretta et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2011)

Article Biology

Global Stability for Delay SIR and SEIR Epidemic Models with Nonlinear Incidence Rate

Gang Huang et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2010)

Article Mathematics

AN SIS INFECTION MODEL INCORPORATING MEDIA COVERAGE

Jing-An Cui et al.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS (2008)

Article Mathematics, Applied

The impact of media on the control of infectious diseases

Jingan Cui et al.

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2008)

Article Biology

Global analysis of an epidemic model with nonmonotone incidence rate

Dongmei Xiao et al.

MATHEMATICAL BIOSCIENCES (2007)

Article Mathematics, Applied

A compartmental model for the analysis of SARS transmission patterns and outbreak control measures in China

J Zhang et al.

APPLIED MATHEMATICS AND COMPUTATION (2005)

Article Mathematics, Applied

Bifurcations in an epidemic model with constant removal rate of the infectives

WD Wang et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2004)

Article Mathematical & Computational Biology

Dynamical models of tuberculosis and their applications

C Castillo-Chavez et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2004)

Article Biology

Modelling strategies for controlling SARS outbreaks

AB Gumel et al.

PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2004)

Article Mathematics

Dynamical behavior of an epidemic model with a nonlinear incidence rate

SG Ruan et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2003)

Article Biology

Daniel Bernoulli's epidemiological model revisited

K Dietz et al.

MATHEMATICAL BIOSCIENCES (2002)

Article Mathematics, Applied

Generalized form of Hurwitz-Routh criterion and Hopf bifurcation of higher order

XJ Yang

APPLIED MATHEMATICS LETTERS (2002)

Article Mathematics, Applied

Geometric stability switch criteria in delay differential systems with delay dependent parameters

E Beretta et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2002)

Review Mathematics, Applied

The mathematics of infectious diseases

HW Hethcote

SIAM REVIEW (2000)