Persistence and extinction in a stochastic nonautonomous logistic model of population dynamics

Borysenko, Olga; Borysenko, D. O.

doi:10.1090/tpms/1080

Cited by 6 publications

(4 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, it is important to note that these results are subject to the uncertainties that arise in ecological systems. For example, the occurrence of stochastic temperature variation affecting the intrinsic growth rate (Borysenko & Borysenko, 2019; Levins, 1969) may have a substantial impact on the abundance and the biomass of the resource, as depicted in Figure 5. Considering environmental temperature variation may reduce the capability of forecasting trends (Estay et al, 2014).…”

Section: Discussionmentioning

confidence: 99%

Fish catch management strategies: Evaluating the interplay between body size and global warming

Campillay-Llanos

Saldaña-Núñez

Córdova–Lepe

et al. 2021

Natural Resource Modeling

View full text Add to dashboard Cite

Environmental temperature and body size influence the life cycle of the species, with consequences for population size. In addition, it has been reported that increased temperature can lead to a decrease in body size. In the context of a resource‐stock, whose abundance is diminished by the action of an endothermic predator and also by small‐scale fishing activity, we analysed a Schaefer‐type fishery model that incorporates parametric variables associated with thermal performance, metabolic theory, and warming. We project the biomass of the resource in a thermal tolerance range with an increasing temperature trend obtained from current data. In the short term there could be an increase in biomass. However, over time the stock will decline rapidly, in association with the intensity of temperature increase and fishing effort. Recommendations for Resource Managers Temperature increments towards tolerance limits will generate that fish resources will eventually collapse locally. In the meantime, latitudinal variation in the physiological sensitivity of organisms will affect the outcome of the fishing effort differentially. Planning for more sustainable harvesting requires an ecophysiological understanding of both the resource and the species with which it interacts. Simple models contribute to the formulation of strategies aimed to guide responsible monitoring systems, where theoretical, observational, and experimental information is highly relevant.

show abstract

Section: Discussionmentioning

confidence: 99%

Fish catch management strategies: Evaluating the interplay between body size and global warming

Campillay-Llanos

Saldaña-Núñez

Córdova–Lepe

et al. 2021

Natural Resource Modeling

View full text Add to dashboard Cite

show abstract

“…for arbitrary sufficiently small 0 < q < 1 (Lemma 4, [13]). Letting t → +∞ in (9) and using (10) we obtain that…”

Section: Lemmamentioning

confidence: 99%

A Note on a Strong Persistence of Stochastic Predator-Prey Model with Jumps

Borysenko¹,

Borysenko²

2023

Stat., optim. inf. comput.

View full text Add to dashboard Cite

show abstract

“…To the best of our knowledge, there have been no papers devoted to the dynamical properties of the stochastic predator-prey model (3), even in the case of centered Poisson noise. It is worth noting that the impact of centered and noncentered Poisson noises to the stochastic nonautonomous logistic model and to the stochastic twospecies mutualism model is studied in the papers [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Long-time behavior of a nonautonomous stochastic predator–prey model with jumps

Borysenko¹,

Borysenko²

2021

Modern Stochastics: Theory and Applications

View full text Add to dashboard Cite

The existence and uniqueness of a global positive solution is proven for the system of stochastic differential equations describing a nonautonomous stochastic predator-prey model with a modified version of the Leslie-Gower term and Holling-type II functional response disturbed by white noise, centered and noncentered Poisson noises. Sufficient conditions are obtained for stochastic ultimate boundedness, stochastic permanence, nonpersistence in the mean, weak persistence in the mean and extinction of a solution to the considered system.

show abstract

Persistence and extinction in a stochastic nonautonomous logistic model of population dynamics

Cited by 6 publications

References 5 publications

Fish catch management strategies: Evaluating the interplay between body size and global warming

Fish catch management strategies: Evaluating the interplay between body size and global warming

A Note on a Strong Persistence of Stochastic Predator-Prey Model with Jumps

Long-time behavior of a nonautonomous stochastic predator–prey model with jumps

Contact Info

Product

Resources

About