Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure.
Song, Xinyu, Ge, Zhihao, Wu, Jingang (2006)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Displaying similar documents to “Diffusive instability in a prey-predator system with time-dependent diffusivity.”
Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure.
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
Similarity:
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
Similarity:
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
Similarity:
On food chain in a chemostat with distinct removal rates.
El-Owaidy, Hassan M., Moniem, Ashraf A. (2003)
Applied Mathematics E-Notes [electronic only]
Similarity:
Global properties of the three-dimensional predator-prey Lotka-Volterra systems.
Korobeinikov, A., Wake, G.C. (1999)
Journal of Applied Mathematics and Decision Sciences
Similarity:
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
Similarity:
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.
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
Similarity:
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
Similarity:
Analysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environment.
Samanta, G.P. (2010)
International Journal of Mathematics and Mathematical Sciences
Similarity:
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
Similarity:
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
Similarity:
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.