In this paper, a general Filippov-type predator-prey model with a refuge is presented. We
propose a discontinuous predator-prey model incorporating a threshold policy by extending …

A non-smooth Filippov ecosystem with group defense is proposed to investigate the effects
of threshold and intermittent control strategy for IPM. The proposed model has been …

This paper proposes a mathematical model that describes the interaction of prey and
predators, assuming logistic growth for both species, harvesting and alternative food for …

Mathematical models can assist to design and understand control strategies for limited
resources in Integrated Pest Management (IPM). This paper studies the dynamical behavior …

In this paper some qualitative and geometric aspects of nonsmooth vector fields theory are
discussed. A Poincaré-Bendixson Theorem for a class of nonsmooth systems is presented …

This paper investigates the synchronization stability of voltage source converter (VSC)
connected to infinite bus system with frequency limiter of phase-locked loop (PLL). First …

In reality, the outbreak of emerging infectious diseases including SARS, A/H1N1 and Ebola
are accompanied by the common cold and flu. The selective treatment measure for …

In this paper, a Filippov ratio-dependent predator–prey model is proposed to describe the
effect on behavioral refuges caused by prey instinct anti-predator behavior. The proposed …

Poincaré–Bendixson index theorem showed that: if planar smooth differential systems have
only finitely number of singular points inside a limit cycle, then the sum of the indices at …

We propose a nonsmooth Filippov refuge ecosystem with a piecewise saturating response
function and analyze its dynamics. We first investigate some key elements to our model …