We study a diffusive predator-prey model with nonconstant death rate and general nonlinear functional response.
Wensheng Yang 2014, 'Dynamics of a Diffusive Predator-Prey Model with General Nonlinear Functional Response',The Scientific World Journalhttp://dx.doi.org/10.1155/2014/721403. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also construct monotone solutions and give a criterion for nonexistence of nonconstant solutions.
Adam J. J. Chmaj, Xiaofeng Ren 2002, 'The nonlocal bistable equation: Stationary solutions on a bounded interval', Electronic Journal of Differential Equationshttp://ejde.math.txstate.edu/Volumes/2002/02/abstr.html. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Certain nonconstant functions whose fractional derivatives are zero are determined as well.
Thabet Abdeljawad, Dumitru Baleanu 2018, 'On fractional derivatives with generalized Mittag-Leffler kernels', Advances in Difference Equationshttp://link.springer.com/article/10.1186/s13662-018-1914-2. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We consider the case of nonconstant (and unbounded) coefficients.
Nasser-Eddine Tatar 2012, 'Asymptotic Behavior for a Nondissipative and Nonlinear System of the Kirchhoff ViscoelasticType', Journal of Applied Mathematicshttp://dx.doi.org/10.1155/2012/936140. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The conditions, which guarantee that the population size tends to a nonnegative constant or nonconstant function are also established.
Božena Dorociaková, Iveta Ilavská, Rudolf Olach 2017, 'Existence of solutions for an age-structured insect population model with a larvalstage', Electronic Journal of Qualitative Theory of Differential Equationshttp://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5156. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This paper deals with nonconstant magnetic energy in the cases of linear plasma velocity and planar plasma velocity.
David Eberly 1990, 'Analysis of a model in solar magnetohydrostatics', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/S0161171290001041. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Additionally, diagnostic tests reveal that models with nonconstant volatility, skewness and kurtosis are superior to models that keep them invariant.
Doaa Akl Ahmed 2011, 'Modelling the Density of Inflation Using Autoregressive Conditional Heteroscedasticity,Skewness, and Kurtosis Models', Ensayos Revista de Economíahttp://ensayos.uanl.mx/index.php/ensayos/article/view/73. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Then the pseudoinverse of a nonconstant monotone function was given and the concept of crisp parametric bimatrix games was introduced.
Cun-lin Li 2012, 'Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-RFuzzy Variables', Journal of Applied Mathematicshttp://dx.doi.org/10.1155/2012/824790. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Moreover, we establish the existences of nonconstant positive steady states and time-periodic solutions through detailed bifurcation analyses.
Kejun Zhuang, Hongjun Yuan 2019, 'Spatiotemporal dynamics of a predator–prey system with prey-taxis and intraguild predation',Advances in Difference Equationshttp://link.springer.com/article/10.1186/s13662-019-1945-3. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)