We study the positive steady state distributions and dynamical behavior of reaction-diffusion
equation with weak Allee effect type growth, in which the growth rate per capita is not …

A spatially heterogeneous reaction-diffusion system modelling pre-dator-prey interaction is
studied, where the interaction is governed by a Holling type II functional response. Existence …

We consider a family of scalar periodic equations with a parame-ter and establish theory of
rotated equations, studying the behavior of periodic solutions with the change of the …

Imperfect bifurcation phenomena are formulated in framework of analytical bifurcation theory
on Banach spaces. In particular the perturbations of transcritical and pitchfork bifurcations at …

In this paper, by using the fixed point index method, we establish the existence of at least
one or at least two positive solutions for the third-order Sturm–Liouville boundary value …

We study positive radial solutions to the problem maineqn1-Δ u= λ K (\left| x\right|) f (u)\quad
& x ∈ Ω,\\hskip 15pt u= 0 & if\left| x\right|= r_0,\\hskip 15pt u\rightarrow0 & as\left| x\right| → …

We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐
type growth rate function, and a constant yield harvesting. We use sub‐super‐solution …

Invasive species, which can be responsible for severe economic and environmental
damages, must often be managed over a wide area with limited resources, and the optimal …

We consider the uniqueness of the positive solution to a semilinear elliptic equation with
Dirichlet boundary condition and the nonlinearity satisfying and having asymptotic sublinear …

In this paper, we study the existence of positive radial solutions for a semipositone elliptic
equation− Δ u= λ f (u) in Ω, u= 0 on∂ Ω, where Ω is a ball or an annulus in RN with N≥ 2, λ> …