Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems

Analysis of predator-prey dynamical systems that have the functional response which generalizes the other types of functional responses in two dimensions is mainly studied in this paper. The main problems for this study are to detect the if and only if conditions for attaining the periodic solution...

Full description

Bibliographic Details
Published in:	Journal of Mathematics
Main Author:	Neslihan Nesliye Pelen
Format:	Article
Language:	English
Published:	Wiley 2016-01-01
Online Access:	http://dx.doi.org/10.1155/2016/7308609

Similar Items

Behavior of the Solutions for Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on Periodic Time Scales in Shifts
by: Neslihan Nesliye Pelen, et al.
Published: (2016-01-01)

Stabilization for a Periodic Predator-Prey System
by: Sebastian Aniţa, et al.
Published: (2007-01-01)

Rich Dynamics of a Predator-Prey System with Different Kinds of Functional Responses
by: Kankan Sarkar, et al.
Published: (2020-01-01)

The Stability of Solutions for a Fractional Predator-Prey System
by: Yingjia Guo
Published: (2014-01-01)

Stability analysis in generalist predator-prey dynamics with predator harvesting
by: S. Vijaya, et al.
Published: (2024-12-01)

Parameter identification for gompertz and logistic dynamic equations.
by: Elvan Akın, et al.
Published: (2020-01-01)

Analysis of a Periodic Impulsive Predator-Prey System with Disease in the Prey
by: Lianwen Wang, et al.
Published: (2013-01-01)

Periodic solutions of a delayed predator-prey model with stage structure for predator
by: Rui Xu, et al.
Published: (2004-01-01)

Dynamical analysis of a predator-prey system with prey vigilance and hunting cooperation in predators
by: Eric M. Takyi, et al.
Published: (2024-01-01)

The stabilizing effect of small prey immigration on competitive predator-prey dynamics
by: Jawdat Alebraheem, et al.
Published: (2024-12-01)

Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey
by: Zizhen Zhang, et al.
Published: (2014-01-01)

Dynamic Behaviors of a Discrete Periodic Predator-Prey-Mutualist System
by: Liya Yang, et al.
Published: (2015-01-01)

Existence of positive periodic solutions for delayed predator-prey patch systems with stocking
by: Hui Fang, et al.
Published: (2006-01-01)

Dynamics of a Predator–Prey Model with the Additive Predation in Prey
by: Dingyong Bai, et al.
Published: (2022-02-01)

Predator-Prey Dynamics with Disease in the Prey
by: Peter A. Braza
Published: (2005-09-01)

Dynamical Analysis of Prey Refuge Effects on the Stability of Holling Type III Four-species Predator-Prey System
by: Odhiambo Francis, et al.
Published: (2024-03-01)

Dynamic Analysis of a Heterogeneous Diffusive Prey-Predator System in Time-Periodic Environment
by: Chuanjun Dai, et al.
Published: (2020-01-01)

Permanence of Periodic Predator-Prey System with Functional Responses and Stage Structure for Prey
by: Can-Yun Huang, et al.
Published: (2008-01-01)

The Existence and Stability of a Periodic Solution of a Nonautonomous Delayed Reaction–Diffusion Predator–Prey Model
by: Lili Jia, et al.
Published: (2025-02-01)

Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model
by: Guirong Liu, et al.
Published: (2015-01-01)

Dynamics of a Prey-Predator System with Harvesting Effect on Prey
by: Özlem Ak Gümüş
Published: (2022-11-01)

Permanence of Periodic Predator-Prey System with General Nonlinear Functional Response and Stage Structure for Both Predator and Prey
by: Xuming Huang, et al.
Published: (2009-01-01)

Periodic solutions and stability for a delayed discrete ratio-dependent predator-prey system with Holling-type functional response
by: Lin-Lin Wang, et al.
Published: (2004-01-01)

Multiple Periodicity in a Predator–Prey Model with Prey Refuge
by: Weijie Lu, et al.
Published: (2022-01-01)

Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses
by: Weibing Wang, et al.
Published: (2007-01-01)

Almost Periodic Solution for an Epidemic Prey-Predator System with Impulsive Effects and Multiple Delays
by: Baodan Tian, et al.
Published: (2015-01-01)

Positive almost periodic solutions for a predator-prey Lotka-Volterra system with delays
by: Yuan Ye
Published: (2012-08-01)

Periodicity in a ratio-dependent predator-prey system with stage structure for predator
by: Fengde Chen
Published: (2005-01-01)

Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control
by: Yuangan Wang
Published: (2012-01-01)

Coexistence for an Almost Periodic Predator-Prey Model with Intermittent Predation Driven by Discontinuous Prey Dispersal
by: Yantao Luo, et al.
Published: (2017-01-01)

Stability Analysis of a Four-Species Periodic Diffusive Predator–Prey System with Delay and Feedback Control
by: Lili Jia, et al.
Published: (2025-04-01)

Dynamical analysis of almost periodic solution for a multispecies predator-prey model with mutual interference and time delays
by: Qin Liu, et al.
Published: (2017-12-01)

Positive steady-state solutions of a predator-prey system with prey-taxis
by: DONG Yaying, et al.
Published: (2024-08-01)

Dynamical Analysis of a Predator-Prey Model Involving Intraspecific Competition in Predator and Prey Protection
by: Resmawan Resmawan, et al.
Published: (2024-07-01)

Diffusion-Induced Instability of the Periodic Solutions in a Reaction-Diffusion Predator-Prey Model with Dormancy of Predators
by: Mi Wang
Published: (2023-04-01)

Nonexistence of periodic orbits for predator-prey system with strong Allee effect in prey populations
by: Jinfeng Wang, et al.
Published: (2013-07-01)

Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator
by: Xiao Zhang, et al.
Published: (2009-01-01)

Dynamics of a Predator–Prey System with Impulsive Stocking Prey and Nonlinear Harvesting Predator at Different Moments
by: Zeli Zhou, et al.
Published: (2024-07-01)

Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model
by: Tiejun Zhou, et al.
Published: (2012-01-01)

Dynamic behavior of stochastic predator-prey system
by: Pinglan Wan
Published: (2023-03-01)