Results 71 to 80 of about 1,672 (154)
Complex dynamics of a nonlinear discrete predator-prey system with Allee effect
Open MathematicsThe transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
doaj +1 more source
Analyzing a generalized pest-natural enemy model with nonlinear impulsive control
Open Mathematics, 2018 Due to resource limitation, nonlinear impulsive control tactics related to integrated pest management have been proposed in a generalized pest-natural enemy model, which allows us to address the effects of nonlinear pulse control on the dynamics and ...
Li Changtong, Tang Sanyi
doaj +1 more source
On the limit configuration of four species strongly competing systems
, 2019 We analysed some qualitative properties of the limit configuration of the solutions of a reaction-diffusion system of four competing species as the competition rate tends to infinity.
Lanzara, Flavia, Montefusco, Eugenio
core +1 more source
Global Stability Analysis of a General Model of Zika Virus
Nonautonomous Dynamical Systems, 2019 Mathematical models of Zika virus dynamics are relatively new, and they mostly focus on either vector and horizontal, or vector and vertical transmission only.
Bessey K., Mavis M., Rebaza J., Zhang J.
doaj +1 more source
, 2007 We observe that the elementary logistic differential equation dP/dt=(1-P/M)kP may be solved by first changing the variable to R=(M-P)/P. This reduces the logistic differential equation to the simple linear differential equation dR/dt=-kR, which can be ...
Bradley, David M.
core +1 more source
Open Mathematics, 2019 A Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species is proposed and studied.
Chen Fengde +3 more
doaj +1 more source
A new proof of the competitive exclusion principle in the chemostat
, 2017 We give an new proof of the well-known competitive exclusion principle in the chemostat model with $n$ species competing for a single resource, for any set of increasing growth functions. The proof is constructed by induction on the number of the species,
Rapaport, Alain, Veruete, Mario
core
Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]
Heliyon, 2023 Akter S, Islam MS, Hossain T.
europepmc +1 more source
Open Mathematics, 2017 This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence ...
Lu Lin, Lian Yi, Li Chaoling
doaj +1 more source
Coexistence for a kind of stochastic three-species competitive models
Open Mathematics, 2019 The coexistence of species sustains the ecological balance in nature. This paper focuses on sufficient conditions for the coexistence of a three-species stochastic competitive model, where the model has non-linear diffusion parts.
Huang Nantian +3 more
doaj +1 more source