Relaxation Oscillations in the Logistic Equation with Delay and Modified Nonlinearity
نویسندگان
چکیده
We consider the dynamics of a logistic equation with delays and modified nonlinearity, role which is to bound values solutions from above. First, local in neighborhood equilibrium state are studied using standard bifurcation methods. Most paper devoted study nonlocal for sufficiently large `Malthusian’ coefficient. In this case, initial singularly perturbed. The research technique based on selection special sets phase space further asymptotics all these sets. demonstrate that, Malthusian coefficient, `stepping’ periodic observed, their constructed. case two delays, it established that there attractor equation, whose described by nonlinear finite-dimensional mapping.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11071699