Existence of wave front solutions and estimates of wave speed for a competition-diffusion system

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 5, 1996, Pages 579-587

  Kanel, J I ^a   Zhou, Li ^b  

^a Moscow Device Institute   (Russian Federation)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Competition diffusion; Estimates of wave speed

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; ESTIMATION; INTEGRATION; LINEARIZATION; MATHEMATICAL TRANSFORMATIONS; PHASE SPACE METHODS; PIECEWISE LINEAR TECHNIQUES; SPEED; WAVEFRONTS;

CAUCHY PROBLEM; COMPETITION DIFFUSION SYSTEM; INVERSE FUNCTION; TRAVELLING FRONTS SOLUTIONS; WAVE SPEED;

DIFFERENTIAL EQUATIONS;

EID: 0030242036     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00221-G     Document Type: Article

References (7)

1. KOLMOGOROV A. N., PETROVSKII I. G. & PISKUNOV N. S., A study of the equation of diffusion with increase in the quantity of matter, and its application to a biological problem, Bull. Moscow State Univ. 17, 1-72 (1937).
2. TANG M. M. & FIFE P. C., Propagating front for competing species equations with diffusion, Archs ration. Mech. Analysis 73, 69-77 (1980).
3. AHMAD S. & LAZER A. C., An elementary approach to travelling front solutions to a system of N competition-diffusion equations, Nonlinear Analysis 16(10), 893-901 (1991).
4. CONLEY C. & GARDNER R., An application of the generalized Morse index to travelling wave solutions of a competitive reaction diffusion model, Indiana Univ. math. J. 33, 319-343 (1984).
5. GARDNER R. A., Existence and stability of travelling wave solutions of competition models: a degree theoretic, J. diff. Eqns 44, 343-363 (1982).
6. ZHOU L. & PAO C. V., Asymptotic behavior of a competition-diffusion system in population dynamics, Nonlinear Analysis 6(11), 1163-1184 (1982).
7. KANEL J. I., The existence of solutions type travelling wave for Belousov-Zhabotinskii system, Sib. math. J. 32(3), 47-59 (1991).