Bistability in a system of two species interacting through mutualism as well as competition: Chemostat vs. Lotka-Volterra equations
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DOI: 10.1371/journal.pone.0197462
Abstract: We theoretically study the dynamics of two interacting microbial species in the chemostat. These species are competitors for a common resource, as well as mutualists due to cross-feeding. In line with previous studies (Assaneo, et… read more here.
Keywords: volterra equations; system; lotka volterra; bistability ... See more keywords
Weak existence and uniqueness for affine stochastic Volterra equations with L1-kernels
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DOI: 10.3150/20-bej1284
Abstract: We provide existence, uniqueness and stability results for affine stochastic Volterra equations with $L^1$-kernels and jumps. Such equations arise as scaling limits of branching processes in population genetics and self-exciting Hawkes processes in mathematical finance.… read more here.
Keywords: equations kernels; volterra; volterra equations; existence uniqueness ... See more keywords