Analysis of an impulsive predator-prey system with Monod-Haldane functional response and seasonal effects.
Baek, Hunki, Do, Younghae, Saito, Yasuhisa (2009)
Mathematical Problems in Engineering
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Displaying similar documents to “A predator-prey model with state dependent impulsive effects”
Analysis of an impulsive predator-prey system with Monod-Haldane functional response and seasonal effects.
Permanence of periodic predator-prey system with general nonlinear functional response and stage structure for both predator and prey.
Huang, Xuming, Kong, Xiangzeng, Yang, Wensheng (2009)
Abstract and Applied Analysis
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Harvesting control for a stage-structured predator-prey model with Ivlev's functional response and impulsive stocking on prey.
Liu, Kaiyuan, Chen, Lansun (2007)
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On a periodic predator-prey system with Holling III functional response and stage structure for prey.
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Permanence of periodic predator-prey system with functional responses and stage structure for prey.
Huang, Can-Yun, Zhao, Min, Huo, Hai-Feng (2008)
Abstract and Applied Analysis
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Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator.
Zhang, Bin, Shi, Shuai, Liu, Woye (2009)
Discrete Dynamics in Nature and Society
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Global properties of the three-dimensional predator-prey Lotka-Volterra systems.
Korobeinikov, A., Wake, G.C. (1999)
Journal of Applied Mathematics and Decision Sciences
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Seasonal effects on a Beddington-DeAngelis type predator-prey system with impulsive perturbations.
Baek, Hunki, Do, Younghae (2009)
Abstract and Applied Analysis
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A prey-predator model with an alternative food for the predator, harvesting of both the species and with a gestation period for interaction.
Narayan, K.L., Ramacharyulu, N.CH.P. (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species
Luciana Assis, Malay Banerjee, Moiseis Cecconello, Ezio Venturino (2018)
Applications of Mathematics
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The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.
The effect of impulsive diffusion on dynamics of a stage-structured predator-prey system.
Jiao, Jianjun (2010)
Discrete Dynamics in Nature and Society
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The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments
Lin Jun Wang, You Xiang Xie, Qi Cheng Deng (2018)
Kybernetika
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In this paper, we propose a new impulsive predator prey model with impulsive control at different fixed moments and analyze its interesting dynamic behaviors. Sufficient conditions for the globally asymptotical stability of the semi-trivial periodic solution and the permanence of the present model are obtained by Floquet theory of impulsive differential equation and small amplitude perturbation skills. Existences of the "infection-free" periodic solution and the "predator-free" solution...
A prey-predator model with a cover linearly varying with the prey population and an alternative food for the predator.
Narayan, K.L., Paparao, A.V. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Stability and optimal harvesting of a prey-predator model with stage structure for predator
Tapan Kumar Kar (2005)
Applicationes Mathematicae
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The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.