On a class of mathematical ecosystems with random jumps

DOI10.1016/J.SPL.2008.10.011zbMath1157.92034OpenAlexW2049262520MaRDI QIDQ1007351

Jun Peng, Zai-Ming Liu

Publication date: 20 March 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.10.011

Mathematics Subject Classification ID

Ecology (92D40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (3)

A randomized first-passage problem for drifted Brownian motion subject to hold and jump from a boundary ⋮ First-Passage Problems for One-Dimensional Diffusions with Random Jumps from a Boundary ⋮ Solving an Inverse First-Passage-Time Problem for Wiener Process Subject to Random Jumps from a Boundary

Cites Work

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• The dynamics of insect-pathogen interactions in seasonal environments
• Brownian motion on the figure eight
• The form of host density-dependence and the likelihood of host-pathogen cycles in forest-insect systems
• Spectral analysis of Brownian motion with jump boundary
• Weak convergence of sequences of semimartingales with applications to multitype branching processes

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