Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system ✩

By Fengqi Yi, Junjie Wei, Junping Shi. 2009

561 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Genetics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/bce25484d99003fdfbb93c4c90b3d0c65847929f

How researchers see this paper

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

In Computer Networks and Communications

1. Junping Shi
2. Junjie Wei
3. Jinfeng Wang
4. Shigui Ruan
5. Yongli Song
6. Rui Peng
7. Ping Liu
8. Yuwen Wang

In Genetics

1. Biao Wang
2. Yuan Lou
3. Junping Shi
4. Xingfu Zou
5. Junjie Wei
6. Yongli Song
7. Shigui Ruan
8. Jinfeng Wang

In Public Health, Environmental and Occupational Health

1. Junjie Wei
2. Junping Shi
3. Yuan Lou
4. Biao Wang
5. Jinfeng Wang
6. Xingfu Zou
7. Shigui Ruan
8. Rui Peng

Citations in the corpus

• Non-existence of non-constant positive steady states of two Holling type-II predator–prey systems: Strong interaction case (2009, background): “In a recent analytic approach by Yi, Wei and Shi [41], the system (1.1) with Holling type-II functional response is considered, that is, ⎧⎪⎪⎪⎪⎪⎪⎨ ⎪⎪⎪⎪⎪⎪⎩ ut − d1 u = u ( 1 − u k ) − muv u + 1 in Ω, t > 0, vt − d2 v = −θ v + muv u + 1 in Ω, t > 0, ∂νu = ∂ν v = 0 on ∂Ω, t > 0, u(x,0) = u0(x) 0, v(x,0)”
• Global bifurcation analysis and pattern formation in homogeneous diffusive predator–prey systems (2016, methodology): “However from an argument in [52], for n = 1 and = (0, π), there are only”
• Global stability of prey-taxis systems (2017, unknown): “which is the same as the one in [47] for the case χ = 0.”
• Turing Instability and Turing–Hopf Bifurcation in Diffusive Schnakenberg Systems with Gene Expression Time Delay (2018, background): “Due to the time-delay factor, Hopf bifurcations occur more frequently in delayed differential equations, which could destabilize a stable equilibrium and lead to temporally inhomogeneous patterns, see [3, 4, 9, 12, 21, 27, 30, 33, 35].”
• Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion (2019, unknown): “[47, 48]).”
• Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference (2015, background): “Ruan et al. (1998) studied Hopf bifurcation in a diffusive predator–prey model; see recent studies in Li et al. (2013) and Yi et al. (2009) on other predator–prey models.”
• Diffusive spatial movement with memory and maturation delays (2019, unknown): “This is also the case for most such models described by parabolic equations with or without delays, see an example in [34].”
• Local dynamics of a diffusive predator–prey model in spatially heterogeneous environment (2017, background): “The following result characterizes the local stability of (m, 0) ([28, 29]):”
• Bifurcation analysis of reaction–diffusion Schnakenberg model (2013, methodology): “Next we follow the methods in [22] to calculate the direction of Hopf bifurcation and the stability of the bifurcating periodic orbits bifurcating from α = αH 0 .”