Search Results - "Malchow, Horst"

Vertical mixing and hysteresis in the competition of buoyant and non-buoyant plankton prey species in a shallow lake by Bengfort, Michael, Malchow, Horst

“…•Vertical movement and mixing of different plankton species is modeled in a system of ordinary differential equations.•Hysteresis is possible for a certain…”
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The Fokker–Planck law of diffusion and pattern formation in heterogeneous environments by Bengfort, Michael, Malchow, Horst, Hilker, Frank M.

“…We analyze the influence of spatially inhomogeneous diffusion on several common ecological problems. Diffusion is modeled with Fick’s law and the Fokker–Planck…”
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The Allee Effect and Infectious Diseases: Extinction, Multistability, and the (Dis‐)Appearance of Oscillations by Hilker, Frank M., Langlais, Michel, Malchow, Horst

“…Infectious diseases that affect their host on a long timescale can regulate the host population dynamics. Here we show that a strong Allee effect can lead to…”
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Disease-induced modification of prey competition in eco-epidemiological models by Sieber, Michael, Malchow, Horst, Hilker, Frank M.

“…•We model modification of intraspecific prey competition by an infectious disease.•The effect on disease spread is investigated in an eco-epidemiological…”
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Spatiotemporal Complexity of Plankton and Fish Dynamics by Alexander B. Medvinsky, Sergei V. Petrovskii, Irene A. Tikhonova, Malchow, Horst, Li, Bai-Lian

“…Nonlinear dynamics and chaotic and complex systems constitute some of the most fascinating developments of late twentieth century mathematics and physics. The…”
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Impact of Parameter Variability and Environmental Noise on the Klausmeier Model of Vegetation Pattern Formation by Köhnke, Merlin C., Malchow, Horst

“…Semi-arid ecosystems made up of patterned vegetation, for instance, are thought to be highly sensitive. This highlights the importance of understanding the…”
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Wave of Chaos: New Mechanism of Pattern Formation in Spatio-temporal Population Dynamics by Petrovskii, Sergei V., Malchow, Horst

“…The dynamics of a simple prey–predator system is described by a system of two reaction- diffusion equations with biologically reasonable non-linearities…”
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An exact solution of a diffusive predator–prey system by Petrovskii, Sergei, Malchow, Horst, Li, Bai-Lian

“…growth rate is damped by the Allee effect. Using an appropriate change of variables, we obtain an exact solution of the system, which appears to be related to…”
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Spatio-Temporal Pattern Formation in Nonlinear Non-Equilibrium Plankton Dynamics by Malchow, Horst

“…Because of the local and global impacts of algae blooms and patchiness on water quality, carbon cycling and climate, models of plankton dynamics are of current…”
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Numerical study of plankton–fish dynamics in a spatially structured and noisy environment by Malchow, Horst, Petrovskii, Sergei V, Medvinsky, Alexander B

“…The effects of mobile fish schools and noisy zooplankton mortality on the plankton dynamics are described, using a minimal model of the nutrients–plankton–fish…”
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A type IV functional response with different shapes in a predator–prey model by Köhnke, Merlin C., Siekmann, Ivo, Seno, Hiromi, Malchow, Horst

“…•We consider a predator–prey model.•We develop a functional response representing group defense using timescale separation.•The resulting functional response…”
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Taxis-driven pattern formation in a predator-prey model with group defense by Köhnke, Merlin C., Siekmann, Ivo, Malchow, Horst

“…We consider a reaction-diffusion(-taxis) predator-prey system with group defense in the prey. Taxis-driven instability can occur if the group defense…”
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Coexistence of competitors mediated by nonlinear noise by Siekmann, Ivo, Bengfort, Michael, Malchow, Horst

“…Stochastic reaction-diffusion equations are a popular modelling approach for studying interacting populations in a heterogeneous environment under the…”
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Invasive competition with Fokker-Planck diffusion and noise by Bengfort, Michael, Siekmann, Ivo, Malchow, Horst

“…Species competition in a fluctuating environment is often modelled with stochastic reaction-diffusion equations. In most cases the movement of individuals is…”
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Oscillations and waves in a virally infected plankton system by Malchow, Horst, Hilker, Frank M., Petrovskii, Sergei V., Brauer, Klaus

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Editorial by Malchow, Horst, Petrovskii, Sergei

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Editorial by Malchow, Horst, Petrovskii, Sergei V.

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Experimental demonstration of chaos in a microbial food web by Arndt, Hartmut, Becks, Lutz, Hilker, Frank M, Malchow, Horst, Jürgens, Klaus

“…Discovering why natural population densities change over time and vary with location is a central goal of ecological and evolutional disciplines. The…”
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The Effects of Stochasticity on Pattern Formation in a Space- and Time-Discrete Predator–Prey System with Strong Allee Effect in the Prey by Marques, Joice Chaves, Malchow, Horst, Rodrigues, Luiz Alberto Díaz, Mistro, Diomar Cristina

“…The effects of demographic and environmental noise on the vital dynamics and spatial pattern formation are studied for a predator–prey system with strong Allee…”
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On competition of predators and prey infection by Siekmann, Ivo, Malchow, Horst, Venturino, Ezio

“…A class of prey–predator models with infected prey is investigated. Predation terms are either of Holling type II or III, infection is either modelled by mass…”
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