Spatiotemporal Complexity of Plankton and Fish Dynamics

By A. Medvinsky, Sergei V. Petrovskii, I. A. Tikhonova, Horst Malchow, Bai-lian Li. SIAM Review, 2002

476 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/7f5bfdc84f49c47b9ca1e0fee0512f03f53604a4

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In Computer Networks and Communications

1. Junping Shi
2. Jinfeng Wang
3. Junjie Wei
4. Yuan Lou
5. Biao Wang
6. Yihong Du
7. Fengqi Yi
8. T. Kadota

In Genetics

1. Junping Shi
2. Biao Wang
3. Yuan Lou
4. Junjie Wei
5. Jinfeng Wang
6. Yihong Du
7. Guiquan Sun
8. Mingxin Wang

In Public Health, Environmental and Occupational Health

1. Junping Shi
2. Junjie Wei
3. Yuan Lou
4. Biao Wang
5. Jinfeng Wang
6. Yihong Du
7. Fengqi Yi
8. Mingxin Wang

Citations in the corpus

• Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis ✩ (2016, unknown): “dynamics [13–15,33,45,46,60].”
• Allee effect and bistability in a spatially heterogeneous predator-prey model (2007, background): “Travelling wave solutions and pattern formation of predator-prey systems with type II predation but again in a spatially homogeneous environment have been studied in [HLR, MP , OL] (see also the references therein for related problems).”
• Predator cannibalism can give rise to regular spatial pattern in a predator–prey system (2009, background): “In [13], Medvinsky et al.”
• Local dynamics of a diffusive predator–prey model in spatially heterogeneous environment (2017, methodology): “We refer to [7, 23, 24, 25, 26] for surveys of recent development on the effects of dispersal and spatial heterogeneity on population dynamics; See [2, 11, 21, 18] for single species models, [9, 10, 12, 13, 14, 27] for predator-prey models, and [15, 16, 17, 19, 20] for competition models.”
• Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model (2015, unknown): “Interestingly one can find only spot pattern for parameter values lying within the Turing domain only and rest of the patterns appears for parameter values within the Turing–Hopf domain, outside the Turing domain and also as a result of specific choices of initial condition (Malchow et al., 2008; Me”
• Global bifurcation analysis and pattern formation in homogeneous diffusive predator–prey systems (2016, methodology): “A typical interaction of predator and prey is well known as the Rosenzweig–MacArthur model, which is widely used in real life ecological applications [26,36,37], and it has also been used to describe the spatiotemporal dynamics of an aquatic community of phytoplankton and zooplankton system [28].”
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system ✩ (2009, background): “This provides some theoretical evidences for the complex dynamical behavior found through numerical simulation in [35].”
• Positive steady states for a prey-predator model with some nonlinear diffusion terms (2006, background): “It should be noted that some prey–predator models with the linear diffusion terms have been extensively studied by many mathematicians: For example, see [2,6–8,17–21,30, 36] for the same reaction term in (P), and [3,9,26,28] for the Holling–Tanner reaction term case.”
• Dynamics and pattern formation in a diffusive predator–prey system with strong Allee effect in prey (2011, unknown): “A variety of theoretical approaches has been developed and considerable progress has been made during the last three decades [5,8,11,26,30,35,44].”
• Non-existence of non-constant positive steady states of two Holling type-II predator–prey systems: Strong interaction case (2009, unknown): “[24] used (1.”