On Solutions and Heteroclinic Orbits of Some Lotka-Volterra Systems

Solutions and Heteroclinic Orbits of Some LV Systems


  • Supriya Mandal Department of Mathematics, Visva-Bharati (A Central University), Santiniketan-731235, West Bengal, India
  • Madan Mohan Panja Department of Mathematics, Visva-Bharati (A Central University), Santiniketan-731235, West Bengal, India
  • Santanu Ray Department of Zoology, Visva-Bharati (A Central University), Santiniketan-731235, West Bengal, India




LV system, Exact solution, Heteroclinic orbit, Invariant.


In this work, a principle for getting heteroclinic orbit of a dynamical system has been proposed when the solution is known in a compact form. The proposed principle has been tested through its application to a three species Lotka-Volterra system, which may appear as a mathematical model of human pathogen system. The domain in parameter  space involve in the model, and the region of initial condition  for the existence of heteroclinic orbit have been derived.


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How to Cite

Mandal, S., Panja, M. M., & Ray, S. (2018). On Solutions and Heteroclinic Orbits of Some Lotka-Volterra Systems: Solutions and Heteroclinic Orbits of Some LV Systems. JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 7851–7859. https://doi.org/10.24297/jam.v14i2.7499