In this paper, we study the following initial-boundary value problem of a three-species
spatial food chain model {ut= d 1 Δ u+ u (1− u)− b 1 uv, x∈ Ω, t> 0 vt= d 2 Δ v−∇⋅(ξ v∇ u)+ …

In this paper, we show that under suitable simple assumptions the classical two populations
system may exhibit unexpected behaviors. Considering a more elaborated social model, in …

A predator–prey model is considered in which a modified Lotka–Volterra interaction term is
used as the functional response of the predator to the prey. The interaction term is …

Ratio-dependent predator-prey models are increasingly favored by both the theoretical and
experimental ecologists as a more suitable alternative to describe predator-prey interactions …

In this work, the dynamical behavior of fractional-order Hastings–Powell food chain model is
investigated and a new discretization method of the fractional-order system is introduced. A …

A ratio-dependent predator–prey model with infection in prey population is proposed and
analysed. The behaviour of the system near the biological feasible equilibria is observed …

We propose a ratio‐dependent demographic predator–prey model in which also a disease
spreads among predators via homogeneous mixing. Equilibria of the system are analysed …

An appropriate mathematical structure to describe the population dynamics is given by the
partial differential equations of reaction–diffusion type. The spatiotemporal dynamics and …

We study a reaction diffusion system arising from a three-species prey–predator model with
prey-dependent and ratio-dependent functional responses. The main aim of this paper is to …

In this paper, we introduce several dynamical systems modeling two-populations
interactions. The main idea is to assume that the individuals of one of the populations gather …