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Existence and Uniqueness of Positive Solutions for a Predator-Prey Model(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2010年02期
Page:
26-30
Research Field:
数学
Publishing date:

Info

Title:
Existence and Uniqueness of Positive Solutions for a Predator-Prey Model
Author(s):
Zhang Yanfang1; Chen Wenyan2
1.School of Economics & Management,Southeast University,Nanjing 210018,China 2. Departm ent ofMathem atics, SoutheastUn ivers ity, Nan j ing 210018, China
Keywords:
predator-prey mode; l uniqueness;  ex istence;  reaction-diffusion equations
PACS:
O175
DOI:
-
Abstract:
A predato r-prey m ode lw ithMod ified H o lling-Type II Schemes under hom ogeneous D irich le t boundary cond-i tion is cons ide red. By analyzing the asym ptotic behav io rs of positive so lutions to the corresponding reaction-diffusion m ode,l a necessary condition fo r the ex istence o f pos itive so lutions is g iven. M o reover, by v irtue of the topo log ical deg ree theory in cones, it turns out that the necessary cond ition is suffic ient. Besides, the uniqueness o f positiv e solutions in one dim ension space is described.

References:

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Last Update: 2013-04-08