About: Population dynamics are often affected by sudden environmental perturbations. Parameters of stochastic models are often imprecise due to various uncertainties. In this paper, we formulate a stochastic Lotka Volterra food chain chemostat model that includes Levy jumps and interval parameters. Firstly, we prove the existence and uniqueness of the positive solution. Moreover, the threshold between extinction and persistence in the mean of the microorganism is obtained. Finally, some simulations are carried out to demonstrate our theoretical results.   Goto Sponge  NotDistinct  Permalink

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  • Population dynamics are often affected by sudden environmental perturbations. Parameters of stochastic models are often imprecise due to various uncertainties. In this paper, we formulate a stochastic Lotka Volterra food chain chemostat model that includes Levy jumps and interval parameters. Firstly, we prove the existence and uniqueness of the positive solution. Moreover, the threshold between extinction and persistence in the mean of the microorganism is obtained. Finally, some simulations are carried out to demonstrate our theoretical results.
Subject
  • Microorganisms
  • Lipschitz maps
  • Ordinary differential equations
  • Population ecology
  • Stochastic processes
  • Systems ecology
  • Fisheries science
  • Statistical data types
  • Stochastic models
  • Environmental controversies
  • Human overpopulation
  • Population models
  • Bioreactors
  • Social dynamics
  • 1670s in science
  • Augustin-Louis Cauchy
  • Theorems in analysis
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