Disease control through removal of population using Z-control approach

Abstract

a b s t r a c tPresent study considers the situation where the removal of population is adopted as a prevention measure for isolating the susceptible population from an infected region to reduce the disease prevalence. To investigate the scenario, a dynamic error based method, Z-type control is applied in an SI type disease model with the aim of achieving a predetermined disease prevalence. The controlled system is designed by introducing a new compartment (the population in an infection-free region) in the uncontrolled system to capture the removal of susceptible population from the infected region to an infection free region. By performing numerical simulations, our study shows that using Z-control mechanism, the removal of susceptible to an infection free region can effectively achieve a predetermined disease prevalence. The removal rates required for achieving a specific reduction in infected population for different levels of disease endemicity are quantified. Furthermore, the global sensitivity analysis (PRCC) is also performed to have a more clear insights on the correlations of the control parameter with the model parameters.

Using awareness to Z-control a SEIR model with overexposure: Insights on Covid-19 pandemic

“…The Z-type control approach, an error-based method proposed to solve dynamic problems [31] , [32] , [33] , has recently extended its range of applications moving from engineering to life sciences problems. In population dynamics, it has been applied to the classical and generalized Lotka-Volterra model [34] , [35] in order to promote ecological coexistence; in epidemics, to control disease in simple susceptible-infected models [36] , [37] and as a means to control the occurrence of backward scenario [38] ; in eco-epidemiology, to prevent system dynamics by chaotic oscillations in a predator-prey model with disease infection in the prey [39] , [40] .…”

Dynamics of a discrete-time system with Z-type control

“…Recently, Lacitignola et al [44] applied the Z-type approach to control backward bifurcation phenomena in a SIR model. Very recently, Senapati et al [45] studied an SI type disease model employing Z-control approach through the removal of the population. So many continuous-time predator-prey models equipped with the Z-type controller have been developed successfully, but as far as our knowledge goes, there is no such investigation on the predator-prey model with Z-type control in the discrete-time system.…”