Global asymptotic stability of a ratio-dependent predator-prey system with diffusion

By Yong-Hong Fan, Wan-Tong Li. 2006

54 citations recorded by the source corpus.

This paper is concerned with a predator-prey system with diffusion. The global asymptotic stability of the unique positive constant equilibrium is obtained under certain conditions. The method used here is the upper and lower solutions combined with the monotone iteration and constructing suitable Lyapunov functions.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/b385e7cb34ce0690668fa58ea8e4a264bf4f1a4f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

1. Malay Banerjee
2. Wan-Tong Li
3. Sergei V. Petrovskii
4. Wenzhang Huang
5. Syed Abbas
6. Yongli Song
7. Xingfu Zou
8. Guiquan Sun

In Modeling and Simulation

1. Wan-Tong Li
2. Sergei V. Petrovskii

In Public Health, Environmental and Occupational Health

1. Malay Banerjee
2. Shiliang Wu
3. Wan-Tong Li
4. Sergei V. Petrovskii
5. Wenzhang Huang
6. Syed Abbas
7. Yongli Song
8. Xingfu Zou

Citations in the corpus

• Self-organised spatial patterns and chaos in a ratio-dependent predator–prey system (2011, background): “A few authors considered a model where the per capita predation rate is ratio dependent (Arditi and Ginzburg 1989; Kuang and Beretta 1998; Bartumeus et al. 2001; Xiao and Ruan 2001; Fan and Li 2006).”
• Traveling waves in a diffusive predator–prey model with holling type-III functional response (2008, background): “For more biological meaning, the readers may refer to [6,8,9,16,18].”