  We construct quasiparticles-like solutions to the one-dimensional
Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) with a nonlocal nonlinearity using
the method of semiclassically concentrated states in the weak diffusion
approximation. Such solutions are of use for predicting the dynamics of
population patterns. The interaction of quasiparticles stems from nonlocal
competitive losses in the FKPP model. We developed the formalism of our
approach relying on ideas of the Maslov method. The construction of the
asymptotic expansion of a solution to the original nonlinear evolution equation
is based on solutions to an auxiliary dynamical system of ODEs. The asymptotic
solutions for various specific cases corresponding to various spatial profiles
of the reproduction rate and nonlocal competitive losses are studied within the
framework of the approach proposed.
