Optimal control of a dengue epidemic model with vaccination [PDF]
, 2011 We present a SIR+ASI epidemic model to describe the interaction between human and dengue fever mosquito populations. A control strategy in the form of vaccination, to decrease the number of infected individuals, is used.
Delfim F. M. Torres +3 more
core +2 more sources
An optimal control approach to malaria prevention via insecticide-treated nets [PDF]
, 2013 Malaria is a life threatening disease, entirely preventable and treatable, provided the currently recommended interventions are properly implemented. These interventions include vector control through the use of insecticide-treated nets (ITNs).
Silva, Cristiana J. +1 more
core +3 more sources
Lyapunov Functions for Tuberculosis Models with Fast and Slow Progression [PDF]
, 2006 The spread of tuberculosis is studied through two models which include fast and slow progression to the infected class. For each model, Lyapunov functions are used to show that when the basic reproduction number is less than or equal to one, the disease ...
McCluskey, C. Connell
core +2 more sources
Cluster formation for multi-strain infections with cross-immunity [PDF]
, 2005 Many infectious diseases exist in several pathogenic variants, or strains, which interact via cross-immunity. It is observed that strains tend to self-organise into groups, or clusters.
Clavez, V. +2 more
core +2 more sources
Global Stability of an SIR Epidemic Model with Delay and General Nonlinear Incidence [PDF]
, 2010 An SIR model with distributed delay and a general incidence function is studied. Conditions are given under which the system exhibits threshold behaviour: the disease-free equilibrium is globally asymptotically stable if R0 \u3c 1 and globally attracting
McCluskey, C. Connell
core +2 more sources
Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection [PDF]
, 2018 A human respiratory syncytial virus surveillance system was implemented in Florida in 1999, to support clinical decision-making for prophylaxis of premature newborns. Recently, a local periodic SEIRS mathematical model was proposed in [Stat. Optim.
Rosa, Silverio, Torres, Delfim F. M.
core +2 more sources
Epidemics on random graphs with tunable clustering [PDF]
, 2007 In this paper, a branching process approximation for the spread of a Reed-Frost epidemic on a network with tunable clustering is derived. The approximation gives rise to expressions for the epidemic threshold and the probability of a large outbreak in ...
Britton, Tom +3 more
core +3 more sources
A food chain ecoepidemic model: infection at the bottom trophic level [PDF]
, 2014 In this paper we consider a three level food web subject to a disease affecting the bottom prey. The resulting dynamics is much richer with respect to the purely demographic model, in that it contains more transcritical bifurcations, gluing together the ...
De Rossi, Alessandra +4 more
core +2 more sources
A stochastic SICA epidemic model for HIV transmission
, 2018 We propose a stochastic SICA epidemic model for HIV transmission, described by stochastic ordinary differential equations, and discuss its perturbation by environmental white noise.
Djordjevic, Jasmina +2 more
core +1 more source
A two-strain ecoepidemic competition model
, 2014 In this paper we consider a competition system in which two diseases spread by contact. We characterize the system behavior, establishing that only some configurations are possible.
Cavoretto, Roberto +3 more
core +1 more source