Mathematical modeling and theoretical/mathematical considerations for biological/social phenomena; Mathematical Biology. For example, my research interests include followings:

- Population dynamics for some social problems;
- Ecological population dynamics under some human/social activity;
- Population dynamics containing some processes of different time scales;
- Time-discrete mathematical modelling in population dynamics;
- Relationship between time-continuous and time-discrete mathematical models in population dynamics;
- Mathematical theory of ecological control with harvesting, culling, species introduction or deletion;
- Population dynamics in fragmented environment;
- Effect of temporally discontinuous ecological disturbance on population dynamics;
- Group formation and group structure within biological population;
- Diversity of biological community;
- Mathematical modelling applied the fractal concept for biological phenomena;
- Effect of optimal strategy on population dynamics;
- Application of dynamic programming modellings for optimal animal behavior theory.

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