Resilience and blow-up of a species under the logistic equation with strong degradation

Key Points

• Investigate how high degradation affects the solutions of a logistic equation and the blow-up phenomenon.
• Analyzed qualitative solutions of a logistic equation with a degradation term
• Explored the limits of birth rate approximations as degradation increases indefinitely
• Identified conditions under which species populations exhibit blow-up behavior
• Demonstrated an asymptotic approach of the birth rate to its maximum as degradation intensifies