We consider a system of four partial differential equations modelling the dynamics of two populations interacting via chemical agents. Classes of nontrivial equilibrium solutions are studied and a rescaled total biomass is shown to play the role of a bifurcation parameter.
Equilibrium of two-populations subject to chemotaxis / A. FASANO; A. MANCINI; M. PRIMICERIO. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - STAMPA. - 14:(2004), pp. 503-533. [10.1142/S0218202504003337]
Equilibrium of two-populations subject to chemotaxis
FASANO, ANTONIO;MANCINI, ALBERTO;PRIMICERIO, MARIO
2004
Abstract
We consider a system of four partial differential equations modelling the dynamics of two populations interacting via chemical agents. Classes of nontrivial equilibrium solutions are studied and a rescaled total biomass is shown to play the role of a bifurcation parameter.
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