Dynamics of a stochastic population model with Allee effects under regime switching

被引：0

作者：

Ji, Weiming ^{[1
]}

Liu, Meng ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Mat Sci, Huaian, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Allee effect; Stochastic perturbations; Extinction; Persistence; EXTINCTION;

D O I：

10.1186/s13662-020-02759-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stochastic single-species model with Allee effects under regime switching is developed and detected in the present study. First, extinction and persistence of the model are dissected. Subsequently, sufficient criteria are offered to ensure that the model possesses a unique ergodic stationary distribution. Finally, the theoretical outcomes are employed to evaluate the evolution of the African wild dog (Lycaon pictus) in Africa, and some significant functions of stochastic perturbations are exposed.

引用

页数：14

共 24 条

[1] Stochastic predator-prey model with Allee effect on prey [J].

Aguirre, Pablo ;

Gonzalez-Olivares, Eduardo ;

Torres, Soledad .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) :768-779

[2]

[Anonymous], 2004, Final Report

[3]

[Anonymous], 2006, Stochastic Differential Equations with Markovian Switching, DOI [10.1142/p473, DOI 10.1142/P473]

[4]

[Anonymous], 1931, ANIMAL AGGREGATIONS, DOI DOI 10.5962/BHL.TITLE.7313

[5] Assessing re-introductions of the African Wild dog (Lycaon pictus) in the Limpopo Valley Conservancy, South Africa, using the stochastic simulation program VORTEX [J].

Bach, Lars A. ;

Pedersen, Rikke B. F. ;

Hayward, Matt W. ;

Stagegaard, Jesper ;

Loeschcke, Volker ;

Pertoldi, Cino .

JOURNAL FOR NATURE CONSERVATION, 2010, 18 (04) :237-246

[6] Single-species models of the Allee effect: Extinction boundaries, sex ratios and mate encounters [J].

Boukal, DS ;

Berec, L .

JOURNAL OF THEORETICAL BIOLOGY, 2002, 218 (03) :375-394

[7] Predation, group size and mortality in a cooperative mongoose, Suricata suricatta [J].

Clutton-Brock, TH ;

Gaynor, D ;

McIlrath, GM ;

Maccoll, ADC ;

Kansky, R ;

Chadwick, P ;

Manser, M ;

Skinner, JD ;

Brotherton, PNM .

JOURNAL OF ANIMAL ECOLOGY, 1999, 68 (04) :672-683

[8]

Courchamp F, 2008, ALLEE EFFECTS IN ECOLOGY AND CONSERVATION, P1

[9] Evolutionary dynamics and strong Allee effects [J].

Cushing, J. M. ;

Hudson, Jarred T. .

JOURNAL OF BIOLOGICAL DYNAMICS, 2012, 6 (02) :941-958

[10] EXTINCTION IN STOCHASTIC PREDATOR-PREY POPULATION MODEL WITH ALLEE EFFECT ON PREY [J].

Jovanovic, Miljana ;

Krstic, Marija .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (07) :2651-2667

← 1 2 3 →