Persistence and stability for a generalized Leslie-Gower model with stage structure and dispersal.
Huo, Hai-Feng, Ma, Zhan-Ping, Liu, Chun-Ying (2009)
Abstract and Applied Analysis
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Displaying similar documents to “Nonstandard numerical methods for a class of predator-prey models with predator interference.”
Persistence and stability for a generalized Leslie-Gower model with stage structure and dispersal.
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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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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Dynamic behaviors of a harvesting Leslie-Gower predator-prey model.
Zhang, Na, Chen, Fengde, Su, Qianqian, Wu, Ting (2011)
Discrete Dynamics in Nature and Society
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A discrete predator-prey system with age-structure for predator and natural barriers for prey
Sanyi Tang, Lansun Chen (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We analyze a two species discrete predator-prey model in which the prey disperses between two patches of a heterogeneous environment with barriers and the mature predator disperses between the patches with no barrier. By using the discrete dynamical system generated by a monotone, concave maps for subcommunity of prey, we obtain the subcommunity of prey exists an equilibrium which attracts all positive solutions, and using the stability trichotomy results on the monotone and continuous...
A three species ecosystem consisting of a prey, predator and a host commensal to the prey.
Kumar, N.Phani, Pattabhiramacharyulu, N.Ch. (2010)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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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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On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission.
Thieme, Horst R., Yang, Jinling (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Effects of competition and predation in a three species model
Janusz Szwabiński, Andrzej Pękalski, Kamil Trojan (2008)
Banach Center Publications
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A model which consists of a predator and two prey species is presented. The prey compete for the same limited resource (food). The predator preys on both prey species but with different severity. We show that the coexistence of all three species is possible in a mean-field approach, whereas from Monte Carlo simulation it follows that the stochastic fluctuations drive one of the prey populations into extinction.
Extinction in a generalized Lotka-Volterra predator-prey model.
Ackleh, Azmy S., Marshall, David F., Heatherly, Henry E. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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On food chain in a chemostat with distinct removal rates.
El-Owaidy, Hassan M., Moniem, Ashraf A. (2003)
Applied Mathematics E-Notes [electronic only]
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Persistence and bifurcation analysis on a predator–prey system of holling type
Debasis Mukherjee (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.