Results 1 to 10 of about 29 (29)

Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting

Open Mathematics, 2022
In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin, Zhu Zhenliang, He Xiaqing, Chen Fengde   +3 more
doaj   +1 more source

Stability property of the prey free equilibrium point

Open Mathematics, 2019
We revisit a prey-predator model with stage structure for predator, which was proposed by Tapan Kumar Kar. By using the differential inequality theory and the comparison theorem of the differential equation, we show that the prey free equilibrium is ...
Yue Qin
doaj   +1 more source

Boundedness and asymptotic stability in the large of solutions of an ordinary differential system y′ = f(t, y, y′)

International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 261-274, 1992., 1991
Differential equations of the form y′ = f(t, y, y′), where f is not necessarily linear in its arguments, represent certain physical phenomena and solutions have been known for quite some time. The well known Clairut′s and Chrystal′s equations fall into this category.
M. Venkatesulu, P. D. N. Srinivasu
wiley   +1 more source

Almost periodic solution of a discrete competitive system with delays and feedback controls

Open Mathematics, 2019
A discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system.
Xue Yalong, Xie Xiangdong, Lin Qifa
doaj   +1 more source

Almost periodic solutions of a commensalism system with Michaelis-Menten type harvesting on time scales

Open Mathematics, 2019
In this paper, we consider an almost periodic commensal symbiosis model with nonlinear harvesting on time scales. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. Our
Xue Yalong, Xie Xiangdong, Lin Qifa
doaj   +1 more source

Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances

Open Mathematics, 2016
A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper.
Chen Fengde, Chen Xiaoxing, Huang Shouying   +2 more
doaj   +1 more source

Hopf bifurcation and stability in a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay incorporating prey refuge

Open Mathematics, 2019
In this paper, we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge. By analyzing the characteristic equations, we study the local stability of the equilibrium of the system ...
Xiao Zaowang, Li Zhong, Zhu Zhenliang, Chen Fengde   +3 more
doaj   +1 more source

A patchy model for the transmission dynamics of tuberculosis in sub-Saharan Africa. [PDF]

Int J Dyn Control, 2018
Moualeu DP, Bowong S, Tsanou B, Temgoua A.   +3 more
europepmc   +1 more source

An Autonomous System Whose Solutions Are Uniformly Ultimately Bounded but Not Uniformly Bounded

Tohoku Mathematical Journal, 1980
Junji Kato
exaly