A simple vaccination model with multiple endemic states
CM Kribs-Zaleta, JX Velasco-Hernández - Mathematical biosciences, 2000 - Elsevier
A simple two-dimensional SIS model with vaccination exhibits a backward bifurcation for
some parameter values. A two-population version of the model leads to the consideration of …
some parameter values. A two-population version of the model leads to the consideration of …
Backward bifurcation of an epidemic model with treatment
W Wang - Mathematical biosciences, 2006 - Elsevier
An epidemic model with a limited resource for treatment is proposed to understand the effect
of the capacity for treatment. It is assumed that treatment rate is proportional to the number of …
of the capacity for treatment. It is assumed that treatment rate is proportional to the number of …
Bifurcations in an epidemic model with constant removal rate of the infectives
W Wang, S Ruan - Journal of Mathematical Analysis and Applications, 2004 - Elsevier
An epidemic model with a constant removal rate of infective individuals is proposed to
understand the effect of limited resources for treatment of infectives on the disease spread. It …
understand the effect of limited resources for treatment of infectives on the disease spread. It …
Effects of behavioral changes in a smallpox attack model
The impact of individual and community behavioral changes in response to an outbreak of a
disease with high mortality is often not appreciated. Response strategies to a smallpox …
disease with high mortality is often not appreciated. Response strategies to a smallpox …
COVID-19 pandemic and chaos theory
The dynamics of COVID-19 is investigated with regard to complex contributions of the
omitted factors. For this purpose, we use a fractional order SEIR model which allows us to …
omitted factors. For this purpose, we use a fractional order SEIR model which allows us to …
Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates
The control of highly contagious diseases is very important today. In this paper, we proposed
an SEIR model with Crowley–Martin-type incidence rate and Holling type II and III treatment …
an SEIR model with Crowley–Martin-type incidence rate and Holling type II and III treatment …
Imperfect and Bogdanov–Takens bifurcations in biological models: from harvesting of species to isolation of infectives
S Ruan, D Xiao - Journal of mathematical biology, 2023 - Springer
A natural biological system under human interventions may exhibit complex dynamical
behaviors which could lead to either the collapse or stabilization of the system. The …
behaviors which could lead to either the collapse or stabilization of the system. The …
Complex dynamics of an SEIR epidemic model with saturated incidence rate and treatment
In this paper, we describe the dynamics of an SEIR epidemic model with saturated
incidence, treatment function, and optimal control. Rigorous mathematical results have been …
incidence, treatment function, and optimal control. Rigorous mathematical results have been …
Modeling and analysis of an SEIR model with different types of nonlinear treatment rates
In this study, an SEIR epidemic model is proposed for treatment of infectives considering the
development of acquired immunity in recovered individuals. We employed two different …
development of acquired immunity in recovered individuals. We employed two different …
Complex dynamics of an SIR epidemic model with saturated incidence rate and treatment
S Jana, SK Nandi, TK Kar - Acta biotheoretica, 2016 - Springer
This paper describes a traditional SIR type epidemic model with saturated infection rate and
treatment function. The dynamics of the model is studied from the point of view of stability …
treatment function. The dynamics of the model is studied from the point of view of stability …