3 Result(s)
within
Mathematics
Applications of Mathematics
Anthony G. Pakes
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Article
Limit theorems for the population size of a birth and death process allowing catastrophes
The linear birth and death process with catastrophes is formulated as a right continuous random walk on the non-negative integers which evolves in continuous time with an instantaneous jump rate proportional t...
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Article
The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction
The skip-free property of the super-critical linear birth and death process with a linear catastrophe component is exploited to obtain an almost sure convergence theorem for the population size without any ext...
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Chapter
Legumes at Loggerheads: Modelling Competition Between Two Strains of Sub-Clover
In essence this paper is a précis of a substantial investigation of deterministic modelling of two strains of sub-clover which interact competitively at the time they set their seed.
