Constant Harvesting in the Predator-Prey Model

被引:0
|
作者
Chrobok, Viktor
机构
关键词
Predator-Prey model; Lotka-Volterra equation; ordinary differential equations; mathematical biology;
D O I
暂无
中图分类号
F [经济];
学科分类号
02 ;
摘要
The paper is focused on the Predator-Prey model modified in the case of harvesting one or both populations. Firstly there is given a short description of the basic model and its solution. Than the model is modified to provide a description of a constant harvesting. Solving this system requires a linearization, which was properly done and brought valuable results applicable even for the basic harvesting model. This model is generally diverging, but when just predator population is needed the oscillating character can be sustained.
引用
收藏
页码:296 / 299
页数:4
相关论文
共 50 条
  • [31] Optimal control study of a predator-prey model with nonlinear prey harvesting
    Han, Xiaotao
    Liu, Hua
    Wei, Yumei
    2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING, AND INTELLIGENT COMPUTING (CAMMIC 2022), 2022, 12259
  • [32] Hopf Bifurcation of a Delayed Predator-Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting
    Zhang, Fengrong
    Zhang, Xinhong
    Li, Yan
    Li, Changpin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (14):
  • [33] BOGDANOV-TAKENS BIFURCATION OF CODIMENSION 3 IN A PREDATOR-PREY MODEL WITH CONSTANT-YIELD PREDATOR HARVESTING
    Huang, Jicai
    Liu, Sanhong
    Ruan, Shigui
    Zhang, Xinan
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (03) : 1041 - 1055
  • [34] Non-constant Prey Harvesting in a Ratio-Dependent Predator-Prey System with Predator Self Limitation and Prey using a Constant Refuge
    Devi, Sapna
    Mishra, Rameshwar Prasad
    INTERNATIONAL JOURNAL OF ECOLOGY & DEVELOPMENT, 2018, 33 (02) : 128 - 144
  • [35] GLOBAL DYNAMICS OF A PREDATOR-PREY MODEL INCORPORATING A CONSTANT PREY REFUGE
    Yu, Xiaolei
    Sun, Fuqin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [36] Fear effect in a predator-prey model with additional food, prey refuge and harvesting on super predator
    Thirthar, Ashraf Adnan
    Majeed, Salam J.
    Alqudah, Manar A.
    Panja, Prabir
    Abdeljawad, Thabet
    CHAOS SOLITONS & FRACTALS, 2022, 159
  • [37] Pattern formations of a delayed diffusive predator-prey model with predator harvesting and prey social behavior
    Djilali, Salih
    Bentout, Soufiane
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 9128 - 9142
  • [38] Optimal harvesting for a predator-prey metapopulation
    Supriatna, AK
    Possingham, HP
    BULLETIN OF MATHEMATICAL BIOLOGY, 1998, 60 (01) : 49 - 65
  • [39] Analysis of an Eco-Epidemic Predator-Prey Model with Nonlinear Prey Refuges and Predator Harvesting
    Islam, Md Sarijul
    Sarwardi, Sahabuddin
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2023, 12 (03) : 465 - 483
  • [40] NONCONSTANT PREY HARVESTING IN RATIO-DEPENDENT PREDATOR-PREY SYSTEM INCORPORATING A CONSTANT PREY REFUGE
    Devi, Sapna
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2012, 5 (02)