Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator
- Pimenov, Alexander
- Rachinskii, Dmitrii
2010 Mathematics Subject Classification
- 47J40 92D25 37L15
- robust homoclinic orbit, Preisach operator, operator-differential equations, predator-prey model, hysteresis operators, rate-independent systems
Systems of operator-differential equations which hysteresis operators can have unstable equilibrium points with an open basin of attraction. In this paper, a numerical example of a robust homoclinic loop is presented for the first time in a population dynamics model with hysteretic response of prey to variations of predator. A mechanism creating this homoclinic trajectory is discussed.
- , 139 (2014) pp. 285--298.