This paper deals with a classical controlled nonlinear almost periodic Gilpin-Ayala (GA)
predation ecosystem possessed distributed delays. The existence of only two zeros of a …

Ayala-Gilpin ecosystem is one of the most famous differential equation models based on
experimental and theoretical analysis. Most of the previous works on the almost periodic …

The Ayala-Gilpin (AG) kinetics system is one of the famous mathematical models of
ecosystem. This model has been widely concerned and studied since it was proposed. This …

The Gilpin-Ayala (GA) ecosystem is one of the most important biological mathematical
models. The exploration of various kinetics behaviours of GA-ecological model has attracted …

Two stochastic single-species models are considered in this paper. For the first model, we
discuss the existence and uniqueness of the solution, recurrence and the existence of …

A budworm growth model perturbed by both white noises and regime switchings is
proposed and analyzed. It is proven that there is a threshold. If this threshold is positive, then …

The random volatility, including continuous perturbation and regime switching, inevitably
occurs in tumor microenvironment. In this paper, by introducing Gaussian white noise and …

This paper puts forward and tests a food-limited population model with both white noise and
regime switching perturbations. It is testified that there exists a key value a ̄, with the …

This paper aims to study a class of Markovian switching random systems with stochastic
processes whose α-order moments (α> 1) are finite. Compared with the existing results, the …

Commensalism is a common phenomenon in nature. The Ayala-Gilpin (AG) dynamical
system model is commonly used to describe the nonlinear interactions between species in …