Launching the Feature Article series
Published in Nonlinear Dynamics
Nonlinear model predictive control with logic constraints for COVID-19 management
Published in Nonlinear Dynamics
The management of COVID-19 appears to be a long-term challenge, even in countries that have managed to suppress the epidemic after their initial outbreak. In this paper, we propose a model predictive approach for the constrained control of a nonlinear compartmental model that captures the key dynamical properties of COVID-19. The control design use...
Separatrix crossing and symmetry breaking in NLSE-like systems due to forcing and damping.
Published in Nonlinear dynamics
We theoretically and experimentally examine the effect of forcing and damping on systems that can be described by the nonlinear Schrödinger equation (NLSE), by making use of the phase-space predictions of the three-wave truncation. In the latter, the spectrum is truncated to only the fundamental frequency and the upper and lower sidebands. Our expe...
Predicting the number of total COVID-19 cases and deaths in Brazil by the Gompertz model
Published in Nonlinear Dynamics
In this work, we estimate the total number of infected and deaths by COVID-19 in Brazil and two Brazilian States (Rio de Janeiro and Sao Paulo). To obtain the unknown data, we use an iterative method in the Gompertz model, whose formulation is well known in the field of biology. Based on data collected from the Ministry of Health from February 26, ...
Co-evolution spreading of multiple information and epidemics on two-layered networks under the influence of mass media
Published in Nonlinear Dynamics
During epidemic outbreaks, there are various types of information about epidemic prevention disseminated simultaneously among the population. Meanwhile, the mass media also scrambles to report the information related to the epidemic. Inspired by these phenomena, we devise a model to discuss the dynamical characteristics of the co-evolution spreadin...
A potential treatment for COVID-19 based on modal characteristics and dynamic responses analysis of 2019-nCoV.
Published in Nonlinear dynamics
The 2019-nCoV is ravaging the world, taking lots of lives, and it is emergent to find a solution to deal with this novel pneumonia. This paper provides a potential treatment for COVID-19 utilizing resonance to destroy the infection ability of 2019-nCoV. Firstly, the geometry size of 2019-nCoV is scaled up by 10,000 times. The additional mass is use...
Nonlinear dynamic analysis of an epidemiological model for COVID-19 including public behavior and government action.
Published in Nonlinear dynamics
This paper is concerned with nonlinear modeling and analysis of the COVID-19 pandemic currently ravaging the planet. There are two objectives: to arrive at an appropriate model that captures the collected data faithfully and to use that as a basis to explore the nonlinear behavior. We use a nonlinear susceptible, exposed, infectious and removed tra...
Analysis of second outbreak of COVID-19 after relaxation of control measures in India
Published in Nonlinear Dynamics
At present, more and more countries have entered the parallel stage of fighting the epidemic and restoring the economy after reaching the inflection point. Due to economic pressure, the government of India had to implement a policy of relaxing control during the rising period of the epidemic. This paper proposes a compartment model to study the dev...
Interpreting, analysing and modelling COVID-19 mortality data
Published in Nonlinear Dynamics
We present results on the mortality statistics of the COVID-19 epidemic in a number of countries. Our data analysis suggests classifying countries in five groups, (1) Western countries, (2) East Block, (3) developed Southeast Asian countries, (4) Northern Hemisphere developing countries and (5) Southern Hemisphere countries. Comparing the number of...
Control of a multigroup COVID-19 model with immunity: treatment and test elimination
Published in Nonlinear Dynamics
This paper introduces a multigroup COVID-19 model with immunity, in which the total population of each group is partitioned into five compartments, that is, susceptible, exposed, infective, infective in treatment and recovered compartment. If the basic reproduction number is less than or equal to one, and the infection graph is strongly connected, ...
