In this thesis, both theoretical and application oriented results are obtained for differential
equations with discontinuities of different types: impulsive differential equations, differential …

We study the behaviour of solutions for a 3-dimensional system of differential equations with
discontinuous right hand side in the neighbourhood of the origin. Using B-equivalence of …

We investigate nonsmooth planar systems of differential equations with discontinuous right-
hand side. Discontinuity sets intersect at a vertex and are of the quasilinear nature. By …

We investigate non-smooth planar systems of differential equations with discontinuous right-
hand sides. Discontinuity sets intersect at a vertex, and are of quasilinear nature. By means …

Using successor functions and Poincaré–Bendixson theorem of impulsive differential
equations, the existence of periodical solutions to a predator–prey model with two state …

By applying the comparison theorem, Lyapunov functional, and almost periodic functional
hull theory of the impulsive differential equations, this paper gives some new sufficient …

A generalized predator–prey model with multiple discrete delays and the effect of habitat
complexity is proposed in this paper. Firstly, the stability of the considered model system and …

The present paper deals with a delayed Lotka–Volterra predator–prey system. By linearizing
the equations and by analyzing the locations on the complex plane of the roots of the …

We consider a Lotka–Volterra type predator–prey model with piecewise constant arguments
of generalized type and investigate the stability of the positive equilibrium point of the …

In this paper, we propose a new impulsive predator prey model with impulsive control at
different fixed moments and analyze its interesting dynamic behaviors. Sufficient conditions …