Exact multiplicity of solutions to a diffusive logistic equation with harvesting

An Ambrosetti-Prodi type exact multiplicity result is proved for a diffusive logistic equation with harvesting. We show that a modified diffusive logistic mapping has exactly either zero, or one, or two pre-images depending on the harvesting rate. It implies that the original diffusive logistic equation with harvesting has at most two positive steady state solutions.

• Type: Journal
• Year: 2010
• Where: AMC
• Authors: Yanan Wang, Yuwen Wang, Junping Shi
• Keywords: AMC 2010, Diffusive Logistic Equation, Diffusive Logistic Mapping, Type Exact Multiplicity