# A predator-prey model with combined death and competition terms

Czechoslovak Mathematical Journal (2010)

- Volume: 60, Issue: 1, page 283-295
- ISSN: 0011-4642

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topKang, Joon Hyuk, and Lee, Jungho. "A predator-prey model with combined death and competition terms." Czechoslovak Mathematical Journal 60.1 (2010): 283-295. <http://eudml.org/doc/38007>.

@article{Kang2010,

abstract = {The existence of a positive solution for the generalized predator-prey model for two species \[ \{\begin\{array\}\{c\}\Delta u + u(a + g(u,v)) = 0\quad \mbox\{in\}\ \Omega ,\\ \Delta v + v(d + h(u,v)) = 0\quad \mbox\{in\} \ \Omega ,\\ u = v = 0\quad \mbox\{on\}\ \partial \Omega , \end\{array\}\} \]
are investigated. The techniques used in the paper are the elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties of the solution of logistic equations.},

author = {Kang, Joon Hyuk, Lee, Jungho},

journal = {Czechoslovak Mathematical Journal},

keywords = {predator-prey model; coexistence state; predator-prey model; coexistence state},

language = {eng},

number = {1},

pages = {283-295},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A predator-prey model with combined death and competition terms},

url = {http://eudml.org/doc/38007},

volume = {60},

year = {2010},

}

TY - JOUR

AU - Kang, Joon Hyuk

AU - Lee, Jungho

TI - A predator-prey model with combined death and competition terms

JO - Czechoslovak Mathematical Journal

PY - 2010

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 60

IS - 1

SP - 283

EP - 295

AB - The existence of a positive solution for the generalized predator-prey model for two species \[ {\begin{array}{c}\Delta u + u(a + g(u,v)) = 0\quad \mbox{in}\ \Omega ,\\ \Delta v + v(d + h(u,v)) = 0\quad \mbox{in} \ \Omega ,\\ u = v = 0\quad \mbox{on}\ \partial \Omega , \end{array}} \]
are investigated. The techniques used in the paper are the elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties of the solution of logistic equations.

LA - eng

KW - predator-prey model; coexistence state; predator-prey model; coexistence state

UR - http://eudml.org/doc/38007

ER -

## References

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