ANALYSIS OF A MAY-HOLLING-TANNER RATIO-DEPENDENT PREDATOR-PREY MODEL WITH AN ALTERNATIVE FOOD SOURCE FOR THE PREDATOR AND A STRONG ALLEE EFFECT FOR THE PREY

被引：0

作者：

Romero-Ordonez, Marco antonio ^{[1
,3
]}

Perez-Nunez, Jhelly-reynaluz ^{[1
,3
]}

Pino-romero, Neisser ^{[2
,4
]}

机构：

[1] Univ Nacl Mayor San Marcos, Fac Ciencias Matemat, Dept Matemat, Lima, Peru

[2] Univ Peruana Cayetano Heredia, Fac Ciencias & Ingn, Dept Acad Ciencias Exactas, Lima 15102, Peru

[3] Ave Univ Cruce Ave Venezuela Cuadra 34, Lima, Peru

[4] Ave Honorio Delgado 430, Lima 15102, Peru

来源：

MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING | 2024年 / 5卷 / 04期

关键词：

Strong Allee effect; alternative food; differential equations; Liapunov function; Chetaev criterion; MODIFIED LESLIE-GOWER; FUNCTIONAL-RESPONSE; DYNAMICS; STABILITY;

D O I：

10.5206/mase/19417

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a detailed analysis of a bitrophic chain to understand the complex ecological behavior applied to this specific model. The model is described by means of a two-dimensional system of ordinary differential equations. The existence and uniqueness of the solutions of this system are examined, as well as their boundedness and positivity. In addition, through a differentiable equivalence, conditions for local and global stability at biologically relevant critical points are established. Periodic solutions are also explored. Finally, the Python programming language is used to perform a quantitative analysis of these critical points, showing different scenarios of the qualitative analysis previously obtained.

引用

页码：305 / 328

页数：24

共 54 条

[1] Animal aggregations [J].