Increasing Efficiency in the EBT Algorithm

Aye, Tin Nwe; Carlsson, Lennart

doi:10.1007/978-3-030-44695-6_19

Cited by 1 publication

(2 citation statements)

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“…In most aquatic stage-structured models, the resource growth rate is assumed to be of either semichemostat growth or logistic growth [29][30][31]. However, logistic growth might not be suitable for ecological purposes [32], and in this paper, we have found that the simulated solutions become asymptotically periodic solutions under low harvesting rates and asymptotically stable solutions otherwise.…”

Section: Resource Dynamicsmentioning

confidence: 70%

“…Stability in ecological systems is important since a lack of stability promotes extinction. Under a random environment (in the deterministic setting, the probability of extinction can be evaluated using equation (31), which produces a graph with zero probability of extinction up to a certain point, and after this point, the probability of extinction is one), the lack of steady state can amplify the probability that the population goes extinct. We have two ways of finding the probability of extinction: we can either use the MVP formulation, equation ( 31), or we can use the method explained in Section 3.5, which we call RP formulation (here, RP stands for the recovery potential formulation used to find the probability of extinction).…”

Section: The Probability Of Extinctionmentioning

confidence: 99%

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Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth

Aye

Carlsson

2022

Journal of Applied Mathematics

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Modelling population dynamics in ecological systems reveals properties that are difficult to find by empirical means, such as the probability that a population will go extinct when it is exposed to harvesting. To study these properties, we use an aquatic ecological system containing one fish species and an underlying resource as our models. In particular, we study a class of stage-structured population systems with and without starvation. In these models, we study the resilience, the recovery potential, and the probability of extinction and show how these properties are affected by different harvesting rates, both in a deterministic and stochastic setting. In the stochastic setting, we develop methods for deriving estimates of these properties. We estimate the expected outcome of emergent population properties in our models, as well as measures of dispersion. In particular, two different approaches for estimating the probability of extinction are developed. We also construct a method to determine the recovery potential of a species that is introduced in a virgin environment.

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