A novel Turing instability arises in vegetation models when local growth outpaces competitive susceptibility near the uniform equilibrium, producing stable patterns via supercritical bifurcation.
The American Naturalist 160(4), 524–530 (2002)
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A constrained optimization framework is developed to design spatial interventions controlling tipping dynamics in heterogeneous bistable systems, demonstrated on the 1D Allen-Cahn equation.
The authors prove existence of travelling pulses in a toxicity-extended Klausmeier model by constructing homoclinic orbits via geometric singular perturbation theory in an asymptotic scaling regime and validate against numerics.
A four-PDE model shows that inter- and intra-specific plant-soil feedbacks can produce coexistence, single-species dominance, or spatial vegetation patterns depending on parameter values.
citing papers explorer
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Vegetation pattern formation induced by local growth outpacing susceptibility to non-local competition
A novel Turing instability arises in vegetation models when local growth outpaces competitive susceptibility near the uniform equilibrium, producing stable patterns via supercritical bifurcation.
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Optimisation of tipping pathways in a spatially heterogeneous world
A constrained optimization framework is developed to design spatial interventions controlling tipping dynamics in heterogeneous bistable systems, demonstrated on the 1D Allen-Cahn equation.
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Modeling competitive interactions and plant-soil feedback in vegetation dynamics
A four-PDE model shows that inter- and intra-specific plant-soil feedbacks can produce coexistence, single-species dominance, or spatial vegetation patterns depending on parameter values.