Abstract
We consider the mathematical model of a resource-based autotroph-herbivore system where diffusion of nutrient within the soil is taken into account. We have derived the conditions for the existence of steady-state of the system and studied the stability and instability of the spatially homogeneous case. Then we have introduced the diffusion term to the system and studied the qualitative behaviour of the spatially inhomogeneous case. Finally we have discussed the salient features of the analytical results giving also, the ecological interpretations.
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Ghosh, D., Sarkar, A.K. Qualitative analysis of autotroph-herbivore system with nutrient diffusion. Korean J. Comput. & Appl. Math. 6, 589–599 (1999). https://doi.org/10.1007/BF03009951
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DOI: https://doi.org/10.1007/BF03009951