Thresholds of survival for an n-dimensional volterra mutualistic system in a polluted environment

Journal of Mathematical Analysis and Applications

Volumn 252, Issue 2, 2000, Pages 519-531

  Jinxiao, Pan ^a   Zhen, Jin ^b   Zhien, Ma ^b  

^a NORTH UNIVERSITY OF CHINA   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Extinction; Persistence; Population; Threshold; Toxicant

Indexed keywords

EID: 0034670478     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6853     Document Type: Article

References (7)

1. Hallam T. G., Clark C. E., Jordan G. G. Effects of toxicants on populations: A qualitative approach. II. First order kinetics. J. Math. Biol. 18:1983;25-37.
2. Hallam T. G., Deluna J. T. Effects of toxicants on populations: A qualitative approach. III. Environmental and food chain pathways. J. Theoret. Biol. 109:1984;411-429.
3. Hallam T. G., Ma Z. Persistence in population model with demographic fluctuations. J. Math. Biol. 24:1986;327-339.
4. Ma Z., Song B., Hallam T. G. The threshold of survival for systems in fluctuating environment. Bull. Math. Biol. 51:1989;311-323.
5. Liu H., Ma Z. The threshold of survival for systems of two species in polluted environment. J. Math. Biol. 30:1991;49-61.
6. Ma Z., Luo Z., Jin Z., Zhao H. The threshold of survival for predator-prey Volterra system of three species in a polluted environment. Systems Sci. Math. Sci. 8:1995;373-382.
7. Berman A., Plemmons R. J. Nonnegative Matrices in the Mathematical Science. 1979;Academic Press, New York.