<p>We consider some reaction-diffusion equations describing systems with the nonlocal consumption of resources and the intraspecific competition. Sharp conditions on the coefficients are obtained to ensure the stability and instability of nontrivial constant stationary solutions.</p>

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Stability and Instability of Constant Stationary Solutions to Some Integro-Differential Equations for Population Dynamics

  • Yuming Chen,
  • Vitali Vougalter

摘要

We consider some reaction-diffusion equations describing systems with the nonlocal consumption of resources and the intraspecific competition. Sharp conditions on the coefficients are obtained to ensure the stability and instability of nontrivial constant stationary solutions.